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CAP1A
In the circuit shown, C1=C2=C3 = 4 F and the battery voltage is 15.0 volts.
Find the charge on and energy stored in C1
Charge:
[XXXXXXXXXXXXXXXXXXXXXXXXXX]
Energy: [XXXXXXXXXXXXXXXXXXXXXXXXXX]
CAP1B
In the circuit shown, C1=3 F, C2=6 F, C3=12 F, and the battery voltage is 15.0
volts. Find the voltage across C1, C2 and C3
voltage across C1:
[XXXXXXXXXXXXXXXXXXXXXXXXXX]
voltage across C2:
[XXXXXXXXXXXXXXXXXXXXXXXXXX]
voltage across C3:
[XXXXXXXXXXXXXXXXXXXXXXXXXX]
CAP2A
In the circuit shown, C1=3 F, C2=6 F, C3=12 F, and the battery voltage is 12.0
volts. Find the charge on C2 and the energy stored in C3.
CAP2B
In the circuit shown, C1=2 F, C2=4 F, C3=8 F, and the battery voltage is 15.0
volts. Find the charge on C1, C2 and C3.
charge on C1:
[XXXXXXXXXXXXXXXXXXXXXX]
charge on C2: [XXXXXXXXXXXXXXXXXXXXXX]
charge on
C3: [XXXXXXXXXXXXXXXXXXXXXX]
CAP3A
Given the circuit shown, find the charge on capacitor C3 and the energy stored
in C3 The values of the capacitors are C1=33.0 F, C2=25.0 F and C3=29.0 F. The
battery voltage is 15.0 volts.
CAP4A
Given the circuit shown, find the charge on capacitor C5. The values of the
capacitors are C1=33.0 F, C2=18.0 F, C3= 9.0 F, C4=25.0 F and C5=29.0 F. The
battery voltage is 15.0 volts.
CAP5A
Given the circuit shown, find the capacitance of C2 and the charge on capacitor
C5. The values of the capacitors are C1=10.0 F, C3=24.0 F C4=31.0 F, C5=18.0 F,
C6 = 48.0 F, and the battery voltage is 12.0 volts. The charge on C2 is 9.976 C
DR1A
Consider the figure below where F1=3.0 N, F2=F3=6 N and F4= 3.2 N. The bar is 4
m long, F1 is applied at the right hand end of the bar, F2 and F3 are applied at
the middle of the bar and F4 is applied at 3.0 m from the left end of the bar.
Answer the questions below where are torques are taken about the left hand end
of the bar, at point A, and the forces have the directions shown. 1. The torque
due to F1 is {
[__into the screen (negative z direction)] [__out of the screen
(positive z direction_)] [__zero magnitude]} 2. The torque due to F3 is {
[__into the screen (negative z direction)] [__out of the screen (positive z
direction_)] [__zero magnitude]} 3. The net torque due to F2 and F3 is {
[__into the screen (negative z direction)] [__out of the screen (positive z
direction_)] [__zero magnitude]} 4. The net torque due to F1 and F4 is {
[__into the screen (negative z direction)] [__out of the screen (positive z
direction_)] [__zero magnitude]} 5. The net torque due to F1 and F2 is {
[__into the screen (negative z direction)] [__out of the screen (positive z
direction_)] [__zero magnitude]}
DR2A
A 5.00 m bar lies along the x-axis. It experiences a 7.50 N force straight down
at its right-hand end, and a 13.2 N force up and to the left at 30.0 degrees
above the horizontal, at a point 2.00 m from its left-hand end. What is the zcomponent of the net torque on the bar about its left-hand end?
DR2B
A 4.50 m bar lies along the x-axis. It experiences a 6.25 N force straight up
at its left-hand end, and a 40.0 N force up and to the left at 40.0 degrees
above the horizontal, at a point 1.50 m from its left-hand end. What is the zcomponent of the net torque on the bar about its right-hand end?
DR3A
A 5.00m bar at 50 degrees above horizontal experiences an 8.50 N force straight
down at its right-hand end. It also experiences a 12.0 N force at 150 degrees
ccw from the standard x-axis, at 1.50 m from its left end. What is the zcomponent of the resultant torque on the bar about its left end?
DR4A
A square metal plate 0.18 m on each side lies in the x-y plane and is pivoted
about the z-axis through its center. What is the z component of the net torque
about this axis due to three forces: 16.0 N down, applied to top left corner,
24.0 N down, applied to the top right corner, and 18.0 N, applied at 45.0
degrees to the bottom right corner.
DR5A
A square metal plate 0.18 m on each side, lies in the x-y plane and is pivoted
about the z-axis through its center. The z component of the net torque on the
plate is 5.88 N.m in the positive z direction, and is due to three forces: a
downward force of unknown magnitude applied to the top left corner, a force of
24.0 N down applied to the top right corner, and a force of 18.0 N, applied at
45.0 degrees ccw from the standard x-axis, to the bottom right corner. What is
the magnitude of the force applied to the top left corner?
DR6A
A flywheel has a radius of 0.45 m, and is mounted on frictionless bearings on a
horizontal shaft through its center. A cord is wrapped around the rim of the
wheel and a steady pull of 45.0 N is exerted on the cord. If the moment of
inertia of the wheel is 4.00 kg m^2, what is the magnitude of the angular
acceleration of the wheel?
DR6B
A flywheel has a radius of 0.35 m, and is mounted on frictionless bearings on a
horizontal shaft through its center. A cord is wrapped around the rim of the
wheel and a steady pull of 37.0 N is exerted on the cord. If the moment of
inertia of the wheel is 4.73 kg m^2, what is the magnitude of the angular
acceleration of the wheel?
DR7A
A square metal plate 0.25 m on each side with mass of 7.30 kg lies in the x-y
plane and is pivoted about the z-axis through its center. Calculate the z
component of the angular acceleration about this axis. There are three forces:
21.0 N applied at an angle of 30.0 degrees to the top left corner, 18.0 N
applied at an angle of 100.0 degrees to the top right corner, and 24.0 N
applied upward to the bottom right corner.
DT10A
Two blocks, one on top of the other slide together down a frictionless plane
inclined at 37 deg. The mass of the top block is 25 kg, and the mass of the
lower block is 30 kg. (a) What is the magnitude of the acceleration of the top
block? (b) What is the magnitude of the normal force acting on the top block
due to the lower block?
DT11A
A 19.0 kg box and a 28.0 kg crate are in contact as they rest on an inclined
plane which makes an angle of 18 degrees with the horizontal. A mid applies a
horizontal force to the crate, causing both the box and the crate to have an
acceleration up the plane of 1.30 m/s^2. Find the magnitude of the horizontal
force applied to the crate. Assume that the plane is frictionless
DT11B
A 23.0 kg box and a 22.0 kg crate are in contact as they rest on an inclined
plane which makes an angle of 15 degrees with the horizontal. A mid applies a
horizontal force of 176.4 N to the crate, causing both the box and the crate to
have an acceleration up the plane of 1.25 m/s^2. Assuming that the plane is
frictionless, find the force exerted by the box on the crate and the normal
force exerted by the plane on the box.
DT12A
A 90 kg astronaut is in a space shuttle 450 km above the surface of the Earth.
What is the magnitude of the force on the astronaut due to the Earth? What is
the value of the "acceleration due to gravity" (g(r) = Fw(r)/m ) at this point?
Note: Assuming no other forces act on the astronaut, you can represent this
sought as the magnitude of the acceleration of the astronaut. mEarth = 5.98e24
kg
rEarth = 6.37e6 m
G=6.67e-11 N.m^2/kg^2
DT13A
A car of 1000 kg that is driving along an interstate is accelerating at 0.50
m/s^2. The applied force due to the engine is 600 N. What is the magnitude of
the drag force on the car?
DT14A
A 6.43 kg block is suspended from a vertical spring which is. attached to the
ceiling. The spring is stretched from its loaded equilibrium position. It is
accelerating upwards at 0.783 m/s^2. Find the magnitude of the spring force.
DT14B
A 12.21 kg block is suspended from a vertical spring which is. attached to the
ceiling. The spring is stretched from its loaded equilibrium position. It is
accelerating downward at 0.921 m/s^2. Find the magnitude of the spring force.
DT1A
Suppose a car stopped on the road is hit from behind by a bus so that it
accelerates up to 4.47 m/s in 0.10s. If the driver of the car has a mass of
50.0 kg, what average net force is exerted on her during the crash?
DT1B
An F-14A jet with a mass of 32000 kg has a typical lift-off distance of 900
meters, and a corresponding lift-off speed of 70 m/s. Assuming its acceleration
is constant, calculate the average net force on the jet in Newtons.
DT1C
During a parachute jump over Alaska in 1955, a United States trooper jumped from
a C-119 at 400 meters, but his chute failed to open. He was found alive at the
bottom of a 1 meter crater in the snow. Compute the average net force that acted
on him as he plowed into the snow. Assume the deceleration was constant. The
mass of the trooper was 90 kg and his speed when he hit the snow was 20 m/s.
DT2A
A 100 kg man standing on slippery grass is pulled by his two children. One tugs
him with 50 N north towards the ice-cream stand, while the other hauls with 120
N toward the bathroom, due east. Overlooking friction, compute the X and Y
components of his resulting acceleration.
Use labels CHILD-1 and CHILD-2 given
in the diagram to refer to the two children. Do not consider forces in the zdirection.
DT3A
Suppose a 0.006 kg bullet traveling at 100 m/s strikes a bulletproof vest and
comes to rest in about 0.005 seconds. What average force does the bullet exert
on the vest?
DT3B
A modern nuclear aircraft carrier has a mass of around 9.0e7 kg and is capable
of traveling in excess of 30 knots (15.4 m/s). Suppose one of these giants
plowed into a pier at 30 knots, coming to rest in 30 seconds. What average
force would the carrier exert on the pier?
DT3C
A car travelling at 10 m/s is involved in a head-on crash. The driver, whose
mass is 60 kg is to be brought to rest within the passenger compartment by
uniformly compressing an inflated air bag through a distance of 0.3 meters.
Find the average force exerted on the air bag by the driver during the
collision.
DT4A
An elevator slows to a stop from an initial downward velocity of 10 m/s in 2
seconds. A passenger in the elevator is holding a 3 kilogram package by a
vertical string. What is the tension in the string during the process?
DT4B
An elevator slows to a stop from an initial upward velocity of 7 m/s in 3
seconds. A passenger in the elevator is holding a 2.5 kilogram package by a
vertical string. What is the tension in the string during the process?
DT5A
A 2000 kg car in neutral at the top of a 20 degree inclined driveway 20.0 m
long slips its parking brake and rolls down. Assume that the friction in the
axles is negligible. Find the magnitude of its velocity the instant before it
hits the door
DT6A
An inclined plane making an angle of 25.0 degrees with the horizontal has a
pulley at its top. A 30 kg block on the plane is connected to a freely hanging
20 kg block by means of a cord passing over the pulley. Compute the distance
that the 20 kg block will fall in 2.00 seconds starting from rest. Neglect
friction.
DT7A
A plebe is dragging a 28.2 kg laundry-bag along the deck by pulling on its cord
with a 94.6 N force directed upward at an angle 36 deg above the standard xaxis. Find the magnitude of the normal force on the laundry-bag due to the
deck.
DT7B
A person pushes a shopping cart with a force of 100 N acting down at 45
degrees. The mass of the cart is 10.0 kg. The cart travels rightward at a
constant speed of 1.30 m/s. Ignore the effect of air resistance. What is the
magnitude of the friction force acting horizontally on the cart? What is the
normal force exerted by the ground on the cart?
DT8A
A person of mass 100 kg is standing on top of a cliff with only an old rope
that he knows will support no more than 500 N. His plan to slide down the rope
using friction to keep him from falling freely. At what minimum rate can he
accelerate down the rope in order not to break it?
DT9A
A 10 kg block sits on a plane inclined at 143 degrees. What must be the
frictional force between the block and the inclined plane if the block is not to
slide when the inclined plane is accelerating to the right at 3 m/s^2?
E10A
A box slides across a desk starting from a speed of 3.28 m/s and comes to rest
in a distance of 2.63 m. If the box has a mass of 8.13 kg, what is the
frictional force exerted by the table on the box?
E11A
A ship which has a constant thrust of 1.65e4 N accelerates from rest an reaches
a speed of 4.32 m/s in 60.0 m. The mass of the ship is 7.00e4 kg.
What is
the work done by drag? Note: Neglect gravity. Treat thrust as an applied force
due to engine.
E1A
A man pushes a 20.0 kg crate across a frictionless floor with a horizontal force
of 24.0 N. What work is done by the man on the crate in displacing it by 5.00
m?
E1B
A woman pulls a suitcase with a strap which makes an angle of 37 degrees with
the horizontal. The suitcase has a mass of 15.0 kg, and has wheels on it so
that it can be considered to move without friction. If the tension in the strap
is 80.0 N, what work is done on the suitcase when it is displaced 2.50 m
horizontally?
E1C
A boy pushes a shopping cart kg with a downward force of 100.0 N at 30 degrees
below the horizontal. If his little brother pushes horizontally backwards with
a force of 20.0 N, what is the net work done on the shopping cart in moving it
15.0 m? Ignore the effcts of friction on the shopping cart.
E2A
A girl pushes a cart up a 10.0 degree incline with a horizontal force of 50.0 N.
If the length of the incline is 8.00 m, what work was done on the cart by the
girl? If the mass of the cart is 20.0 kg, what work was done on the cart by
gravity?
E2B
A boy pushes a cart up a 7.00 degree incline with a force of 47.0 N directed
downward at 10.0 degrees below the horizontal. If the length of the incline is
12.0 m, what work was done on the cart by the boy?
E2C
A man pushes a shopping cart of total mass 55.0 kg up a 5 degree ramp.
He
pushes the cart with a downward force of 130.0 N at 20 degrees below the
horizontal. If his son pushes backwards on the cart with a force of 8.0 N down
the slope, what is the net work done on the shopping cart in moving it 22.0 m?
Ignore the effects of friction on the shopping cart.
E3A
A tourist rides in the elevator of the Empire State Building traveling at
constant speed. Including his camera bag, he has a total mass of 96.4 kg. If
he starts at street level and rides the elevator to the observation deck, which
is at a height of 800.0 m, what is the work done on the tourist by the elevator?
E4A
A 3.00 kg block is placed against a vertical spring compressed by 0.20 m. The
spring constant is 1960 N/m. After the spring is released, the block flies into
the air. How high will the block go above the uncompressed spring? Choose the
zero of the gravitational potential energy at the top of the uncompressed
spring.
E4B
A 3.00 kg block is placed against a vertical spring compressed by 0.20 m. The
spring constant is 1960 N/m. After the spring is released, the block flies into
the air. Find the velocity of the block when it is 0.75 meters above the
initial position. Choose the zero of gravitational potential energy at the top
of the compressed spring.
E4C
A 2.50 kg block is placed against a vertical spring compressed by 0.15 m. The
spring constant is 2020 N/m. After the spring is released, the block flies into
the air. How high will the block go above the uncompressed spring? Choose the
zero of the gravitational potential energy to be at the top of the uncompressed
spring.
E5A
A frictionless roller-coaster car tops the first hill whose height is 25.0 m
above the base of the roller coaster with a speed of 3.00 m/s. What is the
magnitude of the car's
instanteous velocity at the point when it reaches the
base?
[XXXXXXXXXXXXXXXXX] Choose the zero of gravitational potential
energy to be at the base of the roller-coaster.
E5B
A frictionless roller-coaster car tops the first hill whose height is 30.0 m
above the base of the roller coaster with a speed of 3.00 m/s. What is the
magnitude of the instanteous velocity at the apex of the next hill which has a
height of 10.0 m? Choose the zero of gravitational potential energy at the base
of the roller-coaster.
E6A
A hailstone falls from a cumulonimbus cloud at a height of 9000 m. starting from
rest. Using energy methods, and assuming that the effect of air friction can be
ignored, find the magnitude of the instantaneous velocity of the hailstone, just
before it hits the ground.
E7A
A spring is fixed at the top of a frictionless plane that makes a 40 degree
angle with respect to the horizontal. A 1.50 kg block is initially 0.600 m from
the end of the uncompressed spring which has a spring constant of 200 N/m. The
block is projected up the plane with an initial velocity of 4.00 m/s. What is
the velocity of the block at the instant it has compressed the spring 0.200 m?
Choose the zero of gravitational potential energy at the initial position of
the block.
E7B
A spring (k = 200 N/m) is fixed at the top of a frictionless plane that makes a
40 degree angle with respect to the horizontal.
A 1.30 kg block is projected
up the plane from an initial position that is 0.600 m from the end of the
uncompresseed spring.
With what velocity must the block be projected up the
plane if it is to stop momentarily when it has compressed the spring by 0.400m?
Choose the zero of gravitational potential energy at the initial position of the
block.
E8A
A person pulls an 18.3 kg box across a floor by pulling on a rope with a
constant force of 50.0 N. The rope is horizontal. The frictional force on the
box is 44.8 N. Determine the speed of the box after it has been pulled 5.00 m
starting from rest.
E8B
A person pulls an 16.5 kg box across a floor by pulling on a rope with a
constant force of 47.5 N. The rope is horizontal. The frictional force on the
box is 42.0 N. Determine the magnitude of the velocity of the box after it has
been pulled 6.50 m starting from an initial velocity of 1.18 m/s.
E9A
A box slides a distance of 3.48 m down a plane which makes a 30 deg angle with
the horizontal. The mass of the box is 6.21 kg. The frictional force on the
box is 13.1 N. What is the speed of the box when it reaches the bottom of the
plane if it started from rest?
E9B
A box slides a distance of 4.21 m down a plane which makes a 30 deg angle with
the horizontal. The mass of the box is 5.70 kg. The frictional force on the
box is 12.9 N. What is the magnitude of the velocity of the box when it reaches
the bottom of the plane if it started at a velocity of 1.32 m/s?
EPOW1
You are asked to design a heating element for a simple electric heater that will
be powered by a 120 V battery. If the heater output is to be 2 kW, what
resistance must the heating element have?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXXX]
EPOW2
If R1 and R2 represent light bulbs in a circuit where the battery voltage is 120
V, what value must R1 have to be a 50 W bulb and what value must R2 have to be
a 100 W bulb?
R1:
[XXXXXXXXXXXXXXXXXXXXXXXX]
R2:
[XXXXXXXXXXXXXXXXXXXXXXXX]
EPOW3
A real battery, like a car battery can be modeled as a pure emf (electromotive
force) in series with an internal resistance, Ri. In the circuit below the emf
of the battery, Vb, is 12 V. The voltage V2-V1 is called the terminal voltage
of the battery and is given by V2-V1 = Vb - I*Ri. If a very low resistance, R1=
0.05 ohm, is put across the terminals of the battery and Ri=0.1 ohm, what is
the power loss in R1 and in Ri? Since all of the heat generated in Ri is inside
the battery, this could be a safety hazard!
in R1:
[XXXXXXXXXXXXXXXXXXXXXXXXX]
in Ri: [XXXXXXXXXXXXXXXXXXXXXXXXX]
EQCAP1A
Given the circuit shown, find the equivalent capacitance of the series
capacitors C1 and C2. The values of the capacitors are C1=12.0 F, C2=27.0 F,
C3= 41.0 F, C4=35.0 F and C5=19.0 F. The battery voltage is 12.0 volts.
EQCAP1B
Given the circuit shown, find the equivalent capacitance of the parallel
capacitors C3, C4 and C5. The values of the capacitors are C1=22.0 F, C2=17.0
F, C3= 31.0 F, C4=45.0 F and C5=29.0 F. The battery voltage is 12.0 volts.
EQCAP1C
Given the circuit shown, find the total equivalent capacitance of the capacitors
C1, C2, C3, C4 and C5. The values of the capacitors are C1=26.0 F, C2=14.0 F,
C3=39.0 F, C4=47.0 F C5=19.0 F and the battery voltage is 15.0 volts.
EQCAP1D
Given the circuit shown, find the total equivalent capacitance of the capacitors
C1, C2, C3, C4 and C5. The values of the capacitors are C1=13.0 F, C2=36.0 F,
C3=72.0 F C4=24.0 F, C5=57.0 F and the battery voltage is 15.0 volts.
EQCAP2A
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=82.0 F, C2=14.0 F,
C3=33.0 F C4=52.0 F, C5=70.0 F, C6 = 38 F, and the battery voltage is 10.0
volts.
EQCAP2B
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=82.0 F, C2=14.0 F,
C3=33.0 F C4=52.0 F, C5=70.0 F, C6 = 38 F, and the battery voltage is 10.0
volts.
EQCAP3A
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=41.0 F, C2=9.0 F,
C3=11.0 F C4=27.0 F, C5=44.0 F, C6 = 72.0 F, C7 = 55.0 F and the battery voltage
is 15.0 volts.
EQCAP3B
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=41.0 F, C2=9.0 F,
C3=11.0 F C4=27.0 F, C5=44.0 F, C6 = 72.0 F, C7 = 55.0 F and the battery voltage
is 15.0 volts.
EQCAP4A
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6, C7, C8. The values of the capacitors are C1=13.0 F, C2=42.0
F, C3=34.0 F C4=27.0 F, C5=51.0 F, C6 = 8 F, C7 = 19 F, C8 = 21 F and the
battery voltage is 15.0 volts.
EQCAP4B
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6, C7, C8. The values of the capacitors are C1=13.0 F, C2=42.0
F, C3=34.0 F C4=27.0 F, C5=51.0 F, C6 = 8 F, C7 = 19 F, C8 = 21 F and the
battery voltage is 15.0 volts.
EQCAP5A
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=21.0 F, C2=37.0 F,
C3=18.0 F C4=47.0 F, C5=58.0 F, C6 = 24 F, and the battery voltage is 12.0
volts.
EQCAP6A
Given the circuit shown, find the equivalent capacitance of the capacitors C1,
C2, C3, C4, C5 C6. The values of the capacitors are C1=19.0 F, C2=12.0 F,
C3=34.0 F C4=29.0 F, C5=37.0 F, C6 = 44.0 F, and the battery voltage is 15.0
volts.
EQRES1A
Given the circuit shown, find the equivalent resistence of the series resistors
R1 and R2. The values of the resistors are R1=30.0 ohm, R2=40.0 ohm, R3=50.0
ohm, R4=60.0 ohm, R5=70 ohm, and the battery voltage is 15.0 volts.
EQRES1B
Given the circuit shown, find the equivalent resistence of the parallel
resistors R3, R4, R5. The values of the resistors are R1=30 ohm, R2=40 ohm,
R3=50 ohm, R4=60.0 ohm, R5=70.0 ohm, and the battery voltage is 15.0 volts.
EQRES1C
Given the circuit shown, find the total equivalent resistence of the resistors
R1, R2, R3, R4 and R5. The values of the resistors are R1=17.0 ohm, R2=52.0
ohm, R3=34.0 ohm R4=25.0 ohm, R5=43.0 ohm, and the battery voltage is 12.0
volts.
EQRES2A
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=12.0 ohm, R2=30.0 ohm,
R3=53.0 ohm R4=41.0 ohm, R5=37.0 ohm, R6 = 64 ohm, and the battery voltage is
15.0 volts.
EQRES2B
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=12.0 ohm, R2=30.0 ohm,
R3=53.0 ohm R4=41.0 ohm, R5=37.0 ohm, R6 = 64 ohm, and the battery voltage is
15.0 volts.
EQRES3A
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=30.0 ohm, R2=24.0 ohm,
R3=15.0 ohm R4=33.0 ohm, R5=70.0 ohm, R6 = 56 ohm, R7 = 67.0 ohm, and the
battery voltage is 15.0 volts.
EQRES3B
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=30.0 ohm, R2=24.0 ohm,
R3=15.0 ohm R4=33.0 ohm, R5=70.0 ohm, R6 = 56 ohm, R7 = 67 ohmand the battery
voltage is 15.0 volts.
EQRES4A
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6, R7, R8. The values of the resistors are R1=30.0 ohm, R2=40.0
ohm, R3=50.0 ohm R4=60.0 ohm, R5=70.0 ohm, R6 = 80 ohm, R7 = 90 ohm, R8 = 100
ohm, and the battery voltage is 15.0 volts.
EQRES4B
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6, R7, R8. The values of the resistors are R1=30.0 ohm, R2=40.0
ohm, R3=50.0 ohm R4=60.0 ohm, R5=70.0 ohm, R6 = 80 ohm, R7 = 90 ohm, R8 = 100
ohm, and the battery voltage is 15.0 volts.
EQRES5A
Given the circuit shown, find the equivalent resistence of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=47.0 ohm, R2=23.0 ohm, R3=8.0
ohm R4=35.0 ohm, R5=16.0 ohm, R6 = 52 ohm, and the battery voltage is 12.0
volts.
EQRES6A
Given the circuit shown, find the equivalent resistance of the resistors R1, R2,
R3, R4, R5 R6. The values of the resistors are R1=62.0 ohm, R2=39.0 ohm,
R3=14.0 ohm R4=26.0 ohm, R5=41.0 ohm, R6 = 53.0 ohm, and the battery voltage is
15.0 volts.
FARA1A
A long, straight wire is carrying a current along the y-axis in a positive
direction according to coordinate system pictured below. The current is
increasing. Answer the questions below about the current loop that is located in
the y-z plane above the wire.
a. What is the direction of the magnetic field
in the loop due to the current in the wire? {
[__positive x] [__negative x]
[__positive y] [__negative y]
[__positive z] [__negative z] [__none]} b. Is
the magnetic field through the loop increasing or decreasing? {
[__increasing]
[__decreasing]} c. Is the magnetic flux through the loop increasing or
decreasing? {
[__increasing] [__decreasing]} d. In what direction must an
induced current in the loop flow through resistor R for the magnetic field due
to the induced current to OPPOSE the change in part c? {
[__positive y]
[__negative y] [__none]}
FARA1B
A long, straight wire is carrying a current along the y-axis in a positive
direction that is decreasing. Answer the questions below about the current loop
that is located in the y-z plane above the wire.
a. What is the direction of
the magnetic field in the loop due to the current in the wire? {
[__positive
x] [__negative x] [__positive y] [__negative y]
[__positive z] [__negative
z] [__none]} b. Is the magnetic field through the loop increasing or decreasing?
{
[__increasing] [__decreasing]} c. Is the magnetic flux through the loop
increasing or decreasing? {
[__increasing] [__decreasing]} d. In what
direction must an induced current in the loop flow through resistor R for the
magnetic field due to the induced current to OPPOSE the change in part c? {
[__positive y] [__negative y] [__none]}
FARA2A
A long, straight wire is carrying a current along the y-axis in a negative
direction according to coordinate system pictured below. The current is
increasing. Answer the questions below about the current loop that is located in
the y-z plane above the wire.
a. What is the direction of the magnetic field
in the loop due to the current in the wire? {
[__positive x] [__negative x]
[__positive y] [__negative y]
[__positive z] [__negative z] [__none]} b. Is
the magnetic field through the loop increasing or decreasing? {
[__increasing]
[__decreasing]} c. Is the magnetic flux through the loop increasing or
decreasing? {
[__increasing] [__decreasing]} d. In what direction must an
induced current in the loop flow through resistor R for the magnetic field due
to the induced current to OPPOSE the change in part c? {
[__positive y]
[__negative y] [__none]}
FARA2B
A long, straight wire is carrying a current along the y-axis in a negative
direction that is decreasing. Answer the questions below about the current loop
that is located in the y-z plane above the wire.
a. What is the direction of
the magnetic field in the loop due to the current in the wire? {
[__positive
x] [__negative x] [__positive y] [__negative y]
[__positive z] [__negative
z] [__none]} b. Is the magnetic field through the loop increasing or decreasing?
{
[__increasing] [__decreasing]} c. Is the magnetic flux through the loop
increasing or decreasing? {
[__increasing] [__decreasing]} d. In what
direction must an induced current in the loop flow through resistor R for the
magnetic field due to the induced current to OPPOSE the change in part c? {
[__positive y] [__negative y] [__none]}
FARA3A
A loop with a resistor as shown below is located in the x-y plane. In the region
there is a magnetic field in the positive z-direction that is INCREASING with
time. Answer the questions below about the current loop that is located in the
x-z plane.
a. What is the direction of the magnetic field in the loop due to
external field?
[__positive x] [__negative x] [__positive y] [__negative
y]
[__positive z] [__negative z] [__none] b. Is the magnetic field
through the loop increasing or decreasing?
[__increasing] [__decreasing] c.
Is the magnetic flux through the loop increasing or decreasing?
[__increasing] [__decreasing] d. In what direction must an induced current in
the loop flow through resistor R for the magnetic field due to the induced
current to OPPOSE the change in part c.
[__positive y] [__negative y]
[__none]
FARA3B
A loop with a resistor as shown below is located in the x-y plane. In the region
there is a magnetic field in the positive z-direction that is DECREASING with
time. Answer the questions below about the current loop that is located in the
x-z plane .
a. What is the direction of the magnetic field in the loop due to
external field?
[__positive x] [__negative x] [__positive y] [__negative
y]
[__positive z] [__negative z] [__none] b. Is the magnetic field
through the loop increasing or decreasing?
[__increasing] [__decreasing] c.
Is the magnetic flux through the loop increasing or decreasing?
[__increasing] [__decreasing] d. In what direction must an induced current in
the loop flow through resistor R for the magnetic field due to the induced
current to OPPOSE the change in part c.
[__positive y] [__negative y]
[__none]
FARA4A
A loop with a resistor as shown below is located in the x-y plane. In the region
there is a magnetic field in the negative z-direction that is INCREASING with
time. Answer the questions below about the current loop that is located in the
x-z plane
a. What is the direction of the magnetic field in the loop due to
external field?
[__positive x] [__negative x] [__positive y] [__negative
y]
[__positive z] [__negative z] [__none] b. Is the magnetic field
through the loop increasing or decreasing?
[__increasing] [__decreasing] c.
Is the magnetic flux through the loop increasing or decreasing?
[__increasing] [__decreasing] d. In what direction must an induced current in
the loop flow through resistor R for the magnetic field due to the induced
current to OPPOSE the change in part c.
[__positive y] [__negative y]
[__none]
FARA4B
A loop with a resistor as shown below is located in the x-y plane. In the region
there is a magnetic field in the negative z-direction that is DECREASING with
time. Answer the questions below about the current loop that is located in the
x-z plane
a. What is the direction of the magnetic field in the loop due to
external field?
[__positive x] [__negative x] [__positive y] [__negative
y]
[__positive z] [__negative z] [__none] b. Is the magnetic field through
the loop increasing or decreasing?
[__increasing] [__decreasing] c. Is the
magnetic flux through the loop increasing or decreasing?
[__increasing]
[__decreasing] d. In what direction must an induced current in the loop flow
through resistor R for the magnetic field due to the induced current to OPPOSE
the change in part c?
[__positive y] [__negative y] [__none]
FARA5A
A loop located in the y-z plane is moving at a constant velocity in the positive
z-direction above a long, straight current carrying wire located along the yaxis as shown . If the current in the wire is constant, answer the questions
below.
a. What is the direction of the magnetic field in the loop due to the
current?
[__positive x] [__negative x] [__positive y] [__negative y]
[__positive z] [__negative z] [__none] b. Is the magnetic field through the
loop increasing or decreasing?
[__increasing] [__decreasing] c. Is the
magnetic flux through the loop increasing or decreasing?
[__increasing]
[__decreasing] d. In what direction must an induced current in the loop flow
through resistor R for the magnetic field due to the induced current to OPPOSE
the change in part c?
[__positive y] [__negative y] [__none]
FARA5B
A loop located in the y-z plane is moving at a constant velocity in the negative
z-direction above a long, straight current carrying wire located along the yaxis as shown . If the current in the wire is constant, answer the questions
below.
a. What is the direction of the magnetic field in the loop due to the
current?
[__positive x] [__negative x] [__positive y] [__negative y]
[__positive z] [__negative z] [__none] b. Is the magnetic field through the
loop increasing or decreasing?
[__increasing] [__decreasing] c. Is the
magnetic flux through the loop increasing or decreasing?
[__increasing]
[__decreasing] d. In what direction must an induced current in the loop flow
through resistor R for the magnetic field due to the induced current to OPPOSE
the change in part c?
[__positive y] [__negative y] [__none]
FARA5C
A loop located in the y-z plane is moving at a constant velocity in the positive
y-direction above a long, straight current carrying wire located along the yaxis as shown . If the current in the wire is constant, answer the questions
below.
a. What is the direction of the magnetic field in the loop due to the
current?
[__positive x] [__negative x] [__positive y] [__negative y]
[__positive z] [__negative z] [__none] b. Is the magnetic field through the
loop increasing or decreasing?
[__increasing] [__decreasing] c. Is the
magnetic flux through the loop increasing or decreasing?
[__increasing]
[__decreasing] d. In what direction must an induced current in the loop flow
through resistor R for the magnetic field due to the induced current to OPPOSE
the change in part c?
[__positive y] [__negative y] [__none]
FARA6A
A circuit with a solenoid and a resistor is located in the y-z plane as shown.
If a bar magnet oriented as shown is moving toward the solenoid in the negative
y-direction, answer the questions below.
a. What is the direction of the
magnetic field in the coil due to the magnet?
[__positive x] [__negative x]
[__positive y] [__negative y]
[__positive z] [__negative z] [__none] b.
Is the magnetic field through the coil increasing or decreasing?
[__increasing] [__decreasing] c. Is the magnetic flux through the coil
increasing or decreasing?
[__increasing] [__decreasing] d. In what
direction must an induced current in the solenoid flow through resistor R for
the magnetic field due to the induced current to OPPOSE the change in part c?
[__positive y] [__negative y] [__none]
FARA6B
A circuit with a solenoid and a resistor is located in the y-z plane as shown.
If a bar magnet oriented as shown is moving away from the solenoid in the
positive y-direction, answer the questions below.
a. What is the direction of
the magnetic field in the coil due to the current?
[__positive x]
[__negative x] [__positive y] [__negative y]
[__positive z] [__negative
z] [__none] b. Is the magnetic field through the coil increasing or decreasing?
[__increasing] [__decreasing] c. Is the magnetic flux through the coil
increasing or decreasing?
[__increasing] [__decreasing] d. In what
direction must an induced current in the loop flow through resistor R for the
magnetic field due to the induced current to OPPOSE the change in part c?
[__positive y] [__negative y] [__none]
FARA7A
A solenoid whose axis is on the y-axis has a current flowing through it in the
direction shown. If a current loop that is parallel to the x-z plane is moving
toward the solenoid, as shown below, answer the questions below. 1. The
direction of the magnetic field in the loop is is
[__positive y]
[__negative y] [__zero magnetic field] 2. The magnetic flux in the loop is
[__increasing] [__decreasing] [__constant] 3. The direction of the induced
current in resistor R is
[__positive z] [__negative z] [__zero current]
FARA7B
A solenoid whose axis is on the y-axis has a current flowing through it in the
direction shown. If a current loop that is parallel to the x-z plane is moving
toward the solenoid, as shown below, answer the questions below. 1. The
direction of the magnetic field in the loop is is
[__positive y]
[__negative y] [__zero magnetic field] 2. The magnetic flux in the loop is
[__increasing] [__decreasing] [__constant] 3. The direction of the induced
current in resistor R is
[__positive z] [__negative z] [__zero current]
FARA7C
A solenoid whose axis is on the y-axis has a current flowing through it in the
direction shown. If a current loop that is parallel to the x-z plane is moving
away from solenoid, as shown below, answer the questions below. 1. The
direction of the magnetic field in the loop is is
[__positive y]
[__negative y] [__zero magnetic field] 2. The magnetic flux in the loop is
[__increasing] [__decreasing] [__constant] 3. The direction of the induced
current in resistor R is
[__positive z] [__negative z] [__zero current]
FARA7D
A solenoid whose axis is on the y-axis has a current flowing through it in the
direction shown. If a current loop that is parallel to the x-z plane is moving
away from solenoid, as shown below, answer the questions below. 1. The
direction of the magnetic field in the loop is is
[__positive x]
[__negative x] [__zero magnetic field] 2. The magnetic flux in the loop is
[__increasing] [__decreasing] [__constant] 3. The direction of the induced
current in resistor R is
[__positive z] [__negative z] [__zero current]
FARA8A
Both loops in the figure are located in the y-z plane. For the time just after
the switch, S, is closed in loop A answer the following questions:
1. The
direction of the magnetic field in LOOP B is
[__positive x] [__negative x]
[__zero magnetic field] 2. The magnetic flux in LOOP B is
[__increasing]
[__decreasing] [__constant] 3. The direction of the induced current in resistor
R2 is
[__positive z] [__negative z] [__zero current]
FARA8B
Both loops in the figure are located in the y-z plane. For the time after the
switch, S, in loop A has been closed for a long time, answer the following
questions:
1. The direction of the magnetic field in LOOP B is
[__positive
x] [__negative x] [__zero magnetic field] 2. The magnetic flux in LOOP B is
[__increasing] [__decreasing] [__constant] 3. The direction of the induced
current in resistor R2 is
[__positive z] [__negative z] [__zero current]
FARA8C
Both loops in the figure are located in the y-z plane. After the switch, S, in
loop A has been closed for a long time, the switch is suddently opened. For the
time just after the switch is opened, answer the following questions:
1. The
direction of the magnetic field in LOOP B is
[__positive x] [__negative x]
[__zero magnetic field] 2. The magnetic flux in LOOP B is
[__increasing]
[__decreasing] [__constant] 3. The direction of the induced current in resistor
R2 is
[__positive z] [__negative z] [__zero current]
FBD1A
A package of mass 6 kg rests on a table. A book of mass 2 kg rests on the
package. Draw a free-body diagram for the package.
FBD1B
A package of mass 6 kg rests on a table. A book of mass 2 kg rests on the
package. What is the normal force exerted on the package by the table?
FBD2A
A block rests on a smooth inclined plane. The plane is inclined at a 30 degree
angle above the horizontal. The block is held at rest by a string that is
attached to a wall. The string is parallel to the inclined plane. Draw a freebody-diagram showing all forces on the block.
FBD3A
Block A weighs 698 N. It sits on a table for which the coefficient of static
friction between the table and the block is 0.24. Block A is tied to a string
which connects to two other strings at a knot. One of the strings is tied to
the wall and makes an angle of 35 degrees to the horizontal. The other is
vertical and is tied to block B. Draw a free-body diagram for the knot.
FBD4A
A 96.0 N force is applied to a 55.0 kg loveseat which is sitting at rest on the
floor. If the force is applied at an angle 40 degrees below the horizontal.
Draw a free-body diagram showing all forces on the loveseat.
FBD5A
A spherical ball with a mass of 2.00 kg rests in the notch shown below. Assume
there is no friction between the ball and the walls. Draw a free body diagram
showing all forces on the ball.
FBD6A
A 10 kg block sits on a plane inclined at 143 degrees. The plane is
accelerating to the right at 3 m/s^2 but the block does not slide Draw a freebody diagram for the block
IND1A
The current through an inductor L1 that has an inductance of 3.2 H is increased
uniformly in time from 2.0 A in a direction from left to right to 3.5 A in a
time of 3 s. Determine the emf (voltage) across the ends of the inductor (VbVa) throughout this time period.
Answer: [XXXXXXXXXXXXXXXXXXX]
IND1B
The current through an inductor L1 is uniformly changed from 3.2 A to the right
to 3.5 A to the left in 2.7 s. During that time it develops a constant emf
(voltage) between its ends (Vb-Va) of 11.3 V. What is its inductance? Take
current to the right to be positive.
Answer: [XXXXXXXXXXXXXXXXXXX]
IND1C
The current through an inductor L1 with a self-inductance of 15 H is uniformly
changed over a period of 3.0 s. During that period it develops a constant emf
(voltage) between its ends (Vb-Va) of 12 V. If the initial current was 4 A to
the right, what is the current through the inductor at the end of that 3 s
period?
Answer: [XXXXXXXXXXXXXXXXXXX]
IND2A
Calculate the energy stored in a solenoid that has a self-inductance of 0.3 H
when the current through it is 8.57 A.
Answer:
[XXXXXXXXXXXXXXXXXXXXXX]
KGRAPH1
Consider the plot below showing the x component of displacement, d_x, of an
object as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The slope of d_x, the x component of
displacement, as a function of time at time T4 is
[__positive]
[__negative]
[__zero] b. The x component of velocity, v_x, at T4 is
[__positive]
[__negative]
[__zero] c. The rate of change of the slope of
d_x as a function of time at T4 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration, a_x, at T4 is
[__positive]
[__negative]
[__zero]
KGRAPH2
Consider the plot below showing the x component of displacement, d_x, of an
object as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The x component of velocity, v_x, at time
T1 is {
[__positive]
[__negative]
[__zero]} b. The x component of
velocity, v_x, at time T2 is {
[__positive]
[__negative]
[__zero]}
c. The x component of velocity, v_x, at time T3 is {
[__positive]
[__negative]
[__zero]} d. The x component of velocity, v_x, at time T4 is {
[__positive]
[__negative]
[__zero]}
KGRAPH3
Consider the plot below showing the x component of displacement, d_x, of an
object as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The x component of acceleration, a_x, at
time T1 is
[__positive]
[__negative]
[__zero] b. The x component
of acceleration, a_x, at time T2 is
[__positive]
[__negative]
[__zero] c. The x component of acceleration, a_x, at time T3 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration,
a_x, at time T4 is
[__positive]
[__negative]
[__zero]
KGRAPH4
Consider the plot below showing the x component of displacement, d_x, of an
object as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The x component of velocity, v_x, at time
T1 is
[__positive]
[__negative]
[__zero] b. The x component of
velocity, v_x, at time T2 is
[__positive]
[__negative]
[__zero] c.
The x component of acceleration, a_x, at T2 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration, a_x, at T3 is
[__positive]
[__negative]
[__zero]
KGRAPH5
Consider the plot below showing the x component of displacement, d_x, of an
object as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The x component of acceleration, a_x, at
time T1 is
[__positive]
[__negative]
[__zero] b. The x component
of velocity, v_x, at time T3 is
[__positive]
[__negative]
[__zero]
c. The x component of velocity, v_x, at T4 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration, a_x, at T4 is
[__positive]
[__negative]
[__zero]
KGRAPH6
Consider the plot below showing the x component of velocity, v_x, of an object
as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The slope of the x component of velocity,
v_x, as a function of time at time T1 is
[__positive]
[__negative]
[__zero] b. The x component of acceleration, a_x, at time T1 is
[__positive]
[__negative]
[__zero] c. The slope of the x component of
velocity, v_x, as a function of time at time T3 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration, a_x, at T3 is
[__positive]
[__negative]
[__zero]
KGRAPH7
Consider the plot below showing the x component of velocity, v_x, of an object
as a function of time. Use the information in the figure to answer the
qualitative the questions below.
a. The x component of acceleration, a_x, at
time T1 is
[__positive]
[__negative]
[__zero] b. The x component
of acceleration, a_x, at time T2 is
[__positive]
[__negative]
[__zero] c. The x component of acceleration, a_x, at time T3 is
[__positive]
[__negative]
[__zero] d. The x component of acceleration,
a_x, at T4 is
[__positive]
[__negative]
[__zero]
KGRAPH8
A ball is thrown straight up into the air. If one neglects air friction, which
of the plots below best represents v_y, the y component of velocity, as a
function of time for the ball?
[__1]
[__2]
[__3]
[__4]
KIR1A
Given a simple circuit containg a 9.00 volt battery and a 100.0 ohm resistor as
shown in the diagram, find the current at points A, B, C, and D.
KIR1B
Given a simple circuit containing a 9.00 volt battery and a 100.0 ohm resistor
as shown in the diagram, find the current through the resistor.
KIR2A
Given the circuit shown, find the current through resistors R2, R4 and R6. The
values of the resistors are R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0 ohm, R4 =
40.0 ohm, R5 = 45.0 ohm, R6 = 50.0 ohm, and the battery voltages is BaE1 = 12.0
volts. Do not solve using equivalent resistance.
KIR3A
Given the circuit shown, find the current through branch BrR123. The values of
the resistors are
R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0 ohm, R4 = 40.0 ohm,
R5 = 45.0 ohm, R6 = 50.0 ohm, and the battery voltage is
BaE1 = 12.0 volts.
Do not solve using equivalent resistance.
KIR3B
Given the circuit shown, find the current through branch
BrR56. The values of
the resistors are
R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0 ohm, R4 = 40.0 ohm,
R5 = 45.0 ohm, R6 = 50.0 ohm, and the battery voltage is
BaE1 = 12.0 volts.
Solve using equivalent resistance.
KIR3C
Given the circuit shown, find the currenst through the
branches BrR123 and
BrR56. The values of the resistors are
R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0
ohm, R4 = 40.0 ohm,
R5 = 45.0 ohm, R6 = 50.0 ohm, and the battery voltage is
BaE1 = 12.0 volts. DO NOT use equivalent resistance.
KIR4A
In the portion of the circuit shown below, the current through resistor R1 is
0.5 A. The values of the resistors are R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0
ohm, and R4 = 40.0 ohm. What is the current through R4?
KIR5A
Given the circuit shown, find the current through resistors R2, R4 and R6. The
values of the resistors are R1 = 25.0 ohm, R2 = 30.0 ohm, R3 = 35.0 ohm, R4 =
40.0 ohm, R5 = 45.0 ohm, R6 = 50.0 ohm, R7 = 55.0 ohm, and the battery voltages
are
BaE1 = 12.0 V, BaE2 = 10 V and BaE3 = 15 V.
KIR7A
Given the circuit shown, find the resistance of R2 and the current thru resistor
R5. The values of the resistors are R1=22.0 ohm, R3=16.0 ohm R4=37.0 ohm,
R5=41.0 ohm, R6 = 28.0 ohm, and the battery voltage is 12.0 volts. The current
thru R2 is 0.26 A
KR1A
A wheel is rotating counterclockwise at a constant angular velocity of $p
rad/s. Through what angle does the wheel rotate in 60.0 seconds?
KR3B
An electric grinding wheel is initially rotating counterclockwise at 10.0 rad/s
when it is turned off. Assume a constant negative angular acceleration of
0.500 rad/s^2. How long does it take the wheel to stop? Through how many
radians does the wheel turn before it comes to a complete stop?
KR6A
Two fixed pulleys are attached by a fanbelt. The radius of the first pulley is
0.0300 m. The magnitude of its angular velocity is 2 $p rad/s in a
counterclockwise direction. If the radius of the second pulley is 0.0200 m,
what is the magnitude of its angular velocity if the fanbelt does not slip?
KR7A
A wheel is rotating at a constant angular velocity of $p rad/s in a clockwise
direction. The radius of the wheel is 0.0300 m. What is the magnitude of the
linear velocity of a point halfway between the center of the axle and the
outside edge of the wheel?
KT10A
A kangaroo can jump about 2.50 m straight up. What is its take-off speed?
KT10C
Calculate the magnitude of the instanteous velocity (speed) at which a
hailstone, falling from 9000 meters out of a cumulonimbus cloud, would strike
the ground. Assume the hailstone starts frome rest and that air friction is
negligible.
KT10D
A boy throws a ball straight up and 1.06 s later he catches it 10.0 cm below the
point at which he released it What was the initial velocity of the ball?
Neglect air friction.
KT11A
A lit firecracker is hurled upward at velocity of 20.0 m/s at an angle above
the ground of 60 degrees. If it explodes 2.00 s later, how high above its
starting position is the blast?
Ignore air friction.
KT11B
A girl throws a ball upward at an angle of 35 deg with an initial velocity of
8.00 m/s. What is the magnitude of the horizontal displacement of the ball
when it hits the ground again?
Assume the ball is initially thrown from ground
level.
KT12A
A cannon is on the slope of a hill 100.0 m down the slope from a castle. The
slope makes an angle of 13.0 deg with respect to the horizontal. If the cannon
is pointed 40.0 deg above the horizontal and fires at the castle, what is the
magnitude of the initial velocity if the cannonball is to hit the castle?
Ignore the effects if air resistance.
KT12B
A cannon is on the slope of a hill 132.6 m down the slope from a castle. The
slope makes an angle of 12.0 deg with respect to the horizontal. If the cannon
is pointed 45.0 deg above the horizontal and hits the base of the castle wall,
what will be the x and y components of the velocity of the cannonball as it hits
the wall
KT12C
A cannon is on the slope of a hill 132.6 m down the slope from a castle. The
slope makes an angle of 12.0 deg with respect to the horizontal. If the cannon
is pointed 45.0 deg above the horizontal and has a muzzle velcity of 40.2 m/s,
what will be the x and y components of the velocity of the cannonball as it hits
the wall. The x-component of the displacement of the cannonball is equal to the
x-component of the relative position of the castle with respect to the cannon.
KT13A
A boy is playing catch with himself by throwing the ball straight up. How fast
does he throw the ball if it comes back to his hands a second later? At low
speeds, air friction is negligible.
KT13B
A boy throws a ball straight up and 1.06 s later he catches it 10.0 cm below the
point at which he released it What was the initial velocity of the ball?
KT1A
The SR-71 strategic reconnaissance aircraft, the Blackbird, set a world speed
record by flying from London to Los Angeles (8.79x10^6 m) in 3 hours 47 minutes
and 36 seconds. Compute the average speed in m/s.
KT1B
The SR-71 strategic reconnaissance aircraft, the Blackbird, set a world speed
record by flying from London to Los Angeles. It recaptured the 1000-km closedcircuit-course record (previously held by the Russian MIG-25 Foxbat) at an
average speed of 935 m/s. How long was the flight?
KT2A
Suppose you fire a bullet (speed 1600 m/s) in a shooting gallery and hear the
gong on the target ring 0.731 s after you fire the bullet. Taking the speed of
sound to be 330 m/s and assuming the bullet travels straight down range at a
constant speed, how far away is the target?
KT3A
A motorcyclist rides onto a road at 22.2 m/s at 1200 noon and maintains that
speed for the rest of her journey. At 1300 a car traveling at 27.8 m/s turns
onto the road at the same point as did the motorcycle. How long has the
motorcycle been traveling when the car passes it? How far down the road will the
car pass?
KT3B
A Chevy is being drive on a road at 42.0 mi/hr at 10:00 am and maintains that
speed for the rest of its journey. At 10:30 am BMW traveling at 80.0 mi/hr
turns onto the road at the same point as the Chevy. How long has the Chevy been
traveling when the BMW passes it? How far down the road will the car pass?
KT4A
A bumblebee flew 43.0 m along a twisting path only to land on a flower 3.00 m
due south of the point on its hive from which it started. If the entire journey
took 10.0 s, what was the average speed and the magnitude of the average
velocity of the bumblebee?
KT5A
An observer on a golf course stands 60.0 m west of a player who drives a ball
due north down the fairway. If the ball lands 2.00 s later, 156.0 m from the
observer, what was the magnitude of the average velocity?
KT6A
A motorcyclist races along a flat road with an initial velocity of 1.00 m/s. At
the finish line, 62.0 s later, he reaches a speed of 15.0 m/s. Find the
magnitude of his average acceleration.
KT6B
A finalist in the Soap Box Derby starts with a push down a long hill with a
slope of 6.00 deg. The magnitude of the initial velocity 1.00 m/s. At the
bottom, 62.0 s later, the magnitude of the velocity reaches 15.0 m/s. Find the
magnitude of its average acceleration.
KT7A
A modern supertanker is gigantic: 1200 to 1300 feet long with a 200.0 ft beam.
Fully loaded, it chugs along at about 16.0 knots (8.33 m/s). It can take 1200
seconds to bring it to a full stop.
Calculate the magnitude of the
corresponding decceleration in m/s^2 and determine the magnitude of the
displacement of the tanker as it decelerates.
KT8A
A motorboat starting from a dead stop accelerates to the right at a constant
2.00 m/s^2 for 3.00 seconds, then very rapidly roars up to 4.00 m/s^2 and holds
the acceleration constant. What is its approximate average acceleration over the
first 5.00 seconds of its motion?
Answer:
[XXXXXXXXXXXXXX]
KT8B
A car can go from rest to a velocity of 22.4 m/s in 8.20 seconds. Assuming its
acceleration is constant in the x-direction, how long will it take for the
velocity to change from 13.4 m/s to 17.9 m/s?
KT9B
A flare shot from a boat has a time delay of 7.00 s before it ignites. If the
flare is aimed at 70 deg above the horizontal and comes out of the flare gun at
a speed of 50.0 m/s, what are the x- and y-components of its velocity at the
moment it ignites?
LC1A
In the circuit below, a 1.6 F capacitor C1 was charged by an external battery
before the switch S1 was closed and the current in the circuit began to
oscillate. At a later instant in time, T1, the charge on the capacitor, C1,
was found to be 0.5 C and the current in the circuit at that instant was 2.1 A
in the direction shown. If the inductance of L1 is 0.8 H, calculate the time
rate of change of the current in L1 at T1 and the energy stored on the capacitor
and inductor at that time. HINT: You need to use the loop rule.
dI/dt in
L1 at T1:
[XXXXXXXXXXXXXXXXXXXXXX]
Energy in C1 at T1:
[XXXXXXXXXXXXXXXXXXXXXX]
Energy in L1 at T1:
[XXXXXXXXXXXXXXXXXXXXXX]
LMOM1A
A 84 kg ice skater moving at 9.5 m/s crashes into a stationary skater of mass 78
kg. If the two skaters slide across the ice together, how fast are they
travelling?
LMOM1B
A 100.0 kg ice skater moving at 8.2 m/s crashes into a stationary skater of mass
67.0 kg. If the two skaters slide across the ice together, how fast are they
travelling?
LMOM2A
A 3.20 kg bowling ball collides head-on with a 1.30 kg bowling pin which is
initially at rest. After the collision, the bowling ball is still moving
forward but now has a speed of 1.82 m/s while the pin is sent flying forward at
2.90 m/s. What was the magnitude of the ball's velocity before the collision?
Ignore any rotation of the ball.
LMOM2B
A billiard ball is moving at 3.1 m/s when it hits a stationary ball of the same
mass. After the collision, the second ball moves at 2.4 m/s at an angle of 60
degrees to the original line of motion. Find the magnitude and direction of the
velocity of the first ball after the collision.
LMOM3A
A billiard ball is moving in the positive x direction when it hits a stationary
ball of the same mass. The collision is elastic and after the collision, the
second ball moves at 2.3 m/s at an angle of 30 degrees to the original line of
motion. Find the magnitude and direction of the velocity of the first ball
after the collision.
LMOM4A
A space probe including a telescope has a combined mass of 4000 kg, and is
cruising through empty space at a speed of 15 m/s. The telescope, which has a
mass of 1500 kg, separates from the probe, and travels at an angle of 20
degrees to the forward direction, while the probe's path is now at 5 degrees on
the other side of the original trajectory. Find the magnitudes of the
velocities of the telescope and the probe after they separate.
LR1A
In the circuit shown, where R1 = 3.0 ohm, L1 = 6.0 H and Vb = 9.0 V. What is the
inductive time constant of this circuit?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXX] What is the current through R1 a very long time after
the switch is closed?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXX] What is the
current through R1 2.0 s after the switch is closed?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXX]
LR1B
In the circuit shown, R1= 20 ohm and L1 = 3.5 H. How long after the switch is
closed does the current through R1 reach 50% of its maximum value?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXX]
LR1C
In the circuit shown, R1= 20 ohm and L1 = 3.5 H. How long after the switch is
closed does the energy in L1 reach 50% of its maximum value?
Answer:
[XXXXXXXXXXXXXXXXXXXXXXX] Note: the Andes solver may be unable to solve for t
even after sufficient equations have been entered. If so, try doing algebraic
simplifications yourself to eliminate quadratic terms before asking Andes to
solve. You can use the notation sqrt(x) in equations to denote the positive
square root of x.
LR1D
In an LR circuit the current through the resistor rises from zero to 60% of its
maximum value in 4.27 s. What is the inductive time constant of the circuit?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX] If the inductor has a self-inductance of 10
H, what is the value of the resistance?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX]
LR2A
In the circuit shown, where R1= 1.5 ohm, L1 = 0.5 H and Vb = 8 V, the switch,
S1, has been in position A for a long time. At t =0 the switch is moved to
position B, which takes the battery out of the circuit. What is current
through the resistor at the time the switch is moved to position B?
Answer:
[XXXXXXXXXXXXXXXXXXXXXX] What is the current through the resistor after 0.5 s?
Answer: [XXXXXXXXXXXXXXXXXXXXXX]
LR2B
In the circuit shown, where R1= 20 ohm, L1 = 3.5 H and the switch, S1, has been
in position A for a long time. At t =0 the switch is moved to position B,
which takes the battery out of the circuit. How long is required for the
current in R1 to fall to 35% of its value at t=0?
Answer:
[XXXXXXXXXXXXXXXXXXXXXX]
LR3A
In the circuit shown, R1 = 2.0 ohm, L1 = 6.0 H and Vb = 12.0 V The switch is
closed at T0. At the instant T1 when the current through the resistor reaches 4
A, what is the instantaneous rate of change of the current through the inductor
L1?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX] What is the energy in the inductor
at this time?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX]
LR3B
In the circuit shown, R1 = 2.0 ohm, L1 = 6.0 H and Vb = 12.0 V. the switch, S1,
has been in position A for a long time, when at T0 the switch is moved to
position B, taking the battery out of the circuit. At time T1, 3.0 s later,
what is voltage across the resistor?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX]
What is the instantaneous rate of change of the current through the inductor at
T1?
Answer: [XXXXXXXXXXXXXXXXXXXXXXX]
LRC1A
Consider the circuit shown below which consists of a capacitor, C1=2.6 F, an
inductor, L1=0.8 H, and a resistor, R1= 13 ohm, in series. C1 was charged by an
external battery before switch, S1, was closed to allow the current in the
circuit to oscillate with decreasing amplitude. At a given instant of time, T1,
the current in L1 is 1.8 A and is flowing in the direction indicated and the
current is increasing at a rate of 0.32 A/s. At T1, find: the charge on C1, the
energy stored on C1 and L1 and the power dissipated through R1? Note: a negative
answer for the charge on C1 means that that actual positive and negative sides
are reversed from those assumed in the diagram.
Charge on C1:
[XXXXXXXXXXXXXXXXXXXXXX]
Energy in C1:
[XXXXXXXXXXXXXXXXXXXXXX]
Energy in L1:
[XXXXXXXXXXXXXXXXXXXXXX]
Power through R1:
[XXXXXXXXXXXXXXXXXXXXXX]
MAG1A
A long straight wire carries a current in the positive x direction. The
positively charged particles A, B, C and negatively charged D are moving in the
directions shown. Draw the magnetic field vector in region1 above the wire and
region2 below it, and show the resulting magnetic forces on particles A, B, C,
and D.
PGRAPH1
An object moving in the negative x direction has a force as a function of time
applied as shown in the figure below. Which of the diagrams shown below best
represents the x component of linear momentum, p_x, as a function of time for
this impulse?
NOTE: Recall that impulse is the integral of force with respect
to time. Since change in linear momentum is equal to the applied impulse, one
must first determine whether the net impulse is positive, negative or zero.
[__ Diagram 1]
[__ Diagram 2]
[__ Diagram 3]
[__ Diagram 4]
PGRAPH2
An object moving in the negative x direction has a force as a function of time
applied as shown in the figure below. Which of the diagrams shown below best
represents the x component of linear momentum, p_x, as a function of time for
this impulse? Recall that impulse is the integral of force with respect to time.
[__ Diagram 1]
[__ Diagram 2]
[__ Diagram 3]
[__ Diagram 4]
PGRAPH3
An object moving in the positive x direction has a force as a function of time
applied as shown in the figure below. Which of the diagrams shown below best
represents the x component of linear momentum, p_x, as a function of time for
this impulse? Recall that impulse is the integral of force with respect to time.
[__ Diagram 1]
[__ Diagram 2]
[__ Diagram 3]
[__ Diagram 4]
POW1A
What is the net power supplied to a 1.0e5 kg YP (ship) as it accelerates from
rest to 5 m/s in 1.0 minutes?
POW1B
What is the power required for an engine to accelerate a 1500 kg car from rest
to 30 m/s in 5.41 s? Neglect any frictional forces
POW2A
A coffee filter with a mass of 2.00 g falling at terminal velocity falls 1.00 m
in 1.83 s. What is the net average power supplied to the coffee filter during
this 1.83 s?
POW3A
What is the maximum constant speed with which a 2000 W motor could lift a 100 kg
crate straight upward? Treat the motor as exerting an applied force on the
crate.
POW4A
A mass is attached to a spring with a spring constant of 45 N/m and the mass is
displaced 0.30 m from its equilibrium position. The mass is released from rest
and passes through the equilibrium position in 0.28s. What is the average power
delivered to the mass during this time period?
POW4B
A mass is attached to a spring which has a spring constant of 50 N/m and the
spring is compressed 0.45 m from its equilibrium position. The mass is released
from rest and passes through the equilibrium position 0.33s later. What is the
average power delivered to the mass during this time period? Assume friction is
negligible.
POW5A
What average power output from the car's engine is required for a 1200 kg car to
climb a 2.0 km long 11 degree hill in 100 seconds? Assume that average
frictional forces during the climb are 700 N and that the speed of the car is
constant. HINT: Remember that the car engine must furnish energy to change the
mechanical energy of the car and the energy that is lost to frictional work.
RC1A
Consider the circuit shown, containing a 47.0 F capacitor C1 which is initially
uncharged,a 23.0 ohm resistor R1 and a 10.0 volt battery. The switch closes at
t=0. Find the charge on the capacitor C1 1.5 s after the switch closes.
RC1B
Consider the circuit shown, containing a 38.0 F capacitor C1 which is initially
uncharged,a 17.0 ohm resistor R1 and a 12.0 volt battery. The switch is open at
time t0 and remains open until t1= 1.0 s. At t1 it closes and remains closed.
Find the charge on the capacitor C1 3.5 s after the switch closes.
RC1C
Consider the circuit shown, containing a 42.0 F capacitor C1 which is initially
uncharged,a 24.0 ohm resistor R1 and a 15.0 volt battery. The switch is open at
time t0 and remains open until t1= 1.0 s. At t1 it closes and remains closed.
Find the current thru the resistor R1 4.5 s after the switch closes.
RC2A
Consider the circuit shown, containing a 27.0 F capacitor C1 which is initially
uncharged,a 21.0 ohm resistor R1 and a 15.0 volt battery. The switch closes at
time t0 and remains closed. Find the time, t1, at which the charge on the
capacitor C1 equals 300 pC.
RC3A
Consider the circuit shown, containing a 42.0 F capacitor C1 which is initially
uncharged,a 37.0 ohm resistor R1 and a 10.0 volt battery. The switch closes at
time t0 and remains closed. Find the time, t1, at which the charge on the
capacitor C1 reaches 80% of its maximum value.
RC3B
Consider the circuit shown, containing a 35.0 F capacitor C1 which is initially
uncharged,a 62.0 ohm resistor R1 and a 12.0 volt battery. The switch closes at
time t0 and remains closed. Find the current in the resistor R1 when the charge
on the capacitor C1 reaches 50% of its maximum value.
RELVEL1A
A pilot wishes to fly directly north. If the cruising speed of the plane is
80.0 m/s relative to still air and the wind is from the west at 15.0 m/s, what
heading should the pilot choose? What is the magnitude of the plane's resultant
northward velocity?
RELVEL2A
A pilot wishes to fly directly north. If the cruising speed of the plane is
85.0 m/s relative to still air and the wind is blowing from the east at 16.0
m/s, what is the magnitude of the velocity of the plane with respect to the
earth?
RELVEL3A
The captain of a ship needs to maintain a velocity of 7.3 m/s in a direction 61
degrees north of east relative to the coast. The ship can maintain a velocity
of 9.2 m/s relative to the ocean. The captain has to steer 23 degrees north of
east in order to allow for the ocean current. Find the direction of ocean
current relative to the coast.
ROTS1B
A car drives through a dip in the road which has a vertical radius of 23.0 m.
The car has a total mass of 1473 kg and is traveling at a velocity of 4.48 m/s.
Find the magnitude of the normal force on the car due to the road.
ROTS1C
An amusement park ride swings riders in a vertical circle at a constant speed.
The magnitude of the velocity is 2.63 m/s and the radius of the swing's path is
9.10 m. If a rider has a mass of 100 kg, find the magnitude of the normal force
on him due to his seat at the moment that seat is vertical and coming down.
ROTS2A
A child is riding on a horse that is on a merry-go-round horse with a radius of
14.0 m. The child has a mass of 22.5 kg and is traveling at 0.893 m/s. Find
the magnitude of the normal force on the child due to the horse.
ROTS3A
A roller coaster car goes through a loop-de-loop which has a radius of 20.0 m.
If the normal force on the car is equal to its weight when the car is at the top
of the loop, how fast is the car traveling?
ROTS4A
A 5.00 kg ball is attached to a 2.00 m rope which will break if the tension
exceeds 100 N. If the ball is made to swing in a vertical circle, what is the
maximum speed with which the ball can pass through the lowest point?
ROTS5A
A 10.0 kg block is tied to a 3/16-in. Manila line, which has a breaking strength
of 1800 N. The block is moving around on a flat horizontal frictionless surface
S with a 1.00 m radius. What is the maximum speed the mass can have if the rope
is not to break?
ROTS6A
A 20.0 kg block is tied to a 3/16-in. Manila line. If it is being whirled around
in a horizontal circle with a 1.00 m radius and the Manila line is at a 35degree angle below horizontal, what is the magnitude of the tension?
ROTS6B
A 20.0 kg mass is tied to a 3/16-in. Manila line. What is the speed of the
mass if it is being whirled around in a horizontal circle with a 1.00 m radius,
with the Manila line at a 35-degree angle below horizontal?
ROTS6C
A block is tied to a 3/16-in. Manila line, which has a tension of 1800 N. It
moves in a horizontal circle of radius 1.00 m. The Manila line is at a 20degree angle below horizontal. What is the mass of the block and its speed?
ROTS7A
A circular automobile racetrack is banked at an angle of 20 degrees and no
friction between the road and the tires is required when a car travels at a
certain speed. If the radius of the track is 400 m, determine the magnitude of
the velocity.
ROTS8A
A 200 kg satellite in in a stable circular orbit located 500 km above the
surface of the Earth. What is the magnitude of the orbital velocity of the
satellite? What is the period of its orbit? mEarth = 5.98e24 kg
rEarth =
6.37e6 m
G=6.67e-11 N.m^2/kg^2
ROTS8B
A satellite is in a stable circular orbit located at a distance r from the
center of the Earth. Find an expression for its orbital velocity in terms of r,
the mass of the Earth, and the gravitational constant G
S10A
A 96.0 N force is applied to a 55.0 kg loveseat which is sitting at rest on the
floor. If the force is applied at an angle 40 degrees below the horizontal.
Calculate the magnitude of the normal and friction forces on the loveseat.
S11A
A 4.20 kg block is placed against a vertical spring which is compressed. The
spring constant is 1896 N/m. Find the compression distance.
S11B
A 4.79 kg block is hanging a vertical spring that is attached to. the ceiling.
The spring constant is 1954 N/m. Find the compression distance.
S1A
A block is suspended from a string that is attached to the ceiling. Find the
tension in the string in terms of the mass of the block.
S1B
A rock climber of mass 55 kg slips while scaling a vertical face. Fortunately
her caribiner holds and she is left hanging at the bottom of her safety line.
Find the tension in the safety line.
S1C
A bungee jumper of mass 80 kg just had an exciting ride from the center span of
a bridge in West Virginia. Unfortunately the bungee, fully stretched, leaves
him 18 meters above the ground. What is the tension in the bungee as he is
hanging there?
S1D
A 90 kg SEAL parachuted into the drop zone. Unfortunately his parachute tangled
in a tree. While he is suspended by his harness from the tree what is the
tension in the harness?
S1E
A 100 kg midshipman doing Marine training is descending from a heliocopter when
his release mechanism jams. While he is hanging from the heliocopter what is
the tension in the cable?
S1F
An 80 kg astronaut in a 70 kg space suit is rapelling down a vertical face on
the moon when his release mechanism binds. As he is hanging vertically what is
the tension in the rope? Note: the gravitational acceleration on the moon is
1.62 m/s^2
S2A
A desktop computer sits on a table. It has a mass of 5.28 kg. Find the magnitude
of the normal force on the computer due to the desk.
S2B
A dumpster of mass 984 kg sits on a hilly street that is inclined at 15 degrees
to the horizontal. Find the magnitude of the normal force on the dumpster due
to the street. Due to friction the dumpster remains at rest.
S2C
A 87.3 kg skier is standing on a ski slope that makes an angle of 171 deg with
the standard x-axis. Due to friction the skier is momentarily standing still.
Find the magnitude of the normal force on the skier due to the slope.
S2D
A package of mass 6 kg rests on a table. A book of mass 2 kg rests on the
package. What is the normal force exerted on the package by the table?
S2E
A spherical ball with a mass of 2.00 kg rests in the notch shown below. If there
is no friction between the ball and the walls, what is the magnitude of the
force exerted on the ball by wall 1?
S3A
During Army Week, a mid tried to push the cannon over to the Commandant's house.
He did not succeed and the cannon didn't move. The cannon had a mass of 1226
kg. The mid applied a force of 730 N in a direction of 207 deg with respect to
the standard x-axis. Find the magnitude of the normal force on the cannonn
due to the ground.
S3B
During Army Week, a mid tried to pull the goat over to the Dean's house. He did
not succeed and the goat didn't move. The goat had a mass of 54 kg. The mid
applied a force of 309 N in a direction of 18 deg with respect to the standard
x-axis. Find the magnitude of the normal force on the goat due to the ground.
S3C
During Sea Trials, two plebes are each trying to drag the same piece of
equipment back to their squads. The equipment has a mass of 89.0 kg. One plebe
is pulling with a force of 341 N in a direction of 22 deg with respect to the
horizontal. The other plebe is pulling with a force of 329 N in a direction of
161 deg with respect to the horizontal. Because of friction the piece of
equipment is not moving. Find the magnitude of normal force on the piece of
equipment due to the floor.
S4B
An Ensign has moved into her first apartment and is hanging pictures on the
walls. While getting ready to mark the wall for the proper nail position she
pushes upward on the picture with a force of 18.4 N in a direction of 66 deg
with respect to the standard x-axis. The picture has a mass of 1.46 kg. Find
the magnitude of the normal force on the picture due to the wall.
S5A
A model airplane hangs from two strings S1 and S2 which are attached to the
ceiling. String S1 is inclined at 45 degrees to the left of vertical. String S2
is inclined at 30 degrees to the right of vertical. If the tension in string S1
is 50 N, find the mass of the airplane and the tension in string S2.
S6A
A block rests on a smooth inclined plane. The plane is inclined at a 30 degree
angle above the horizontal. The block is held at rest by a string that is
attached to a wall. The string is parallel to the inclined plane. What is the
tension in the string and the magnitude of the normal force on the block?
S7A
The weight W1 in the figure is 300 N. Find T1, T2, T3, and weight W2.
\s3
s1/
\
/
\127
/37
K1-----K2
| s2 |
S4|
|s5
W1
W2
S8A
Block A weighs 698 N. It sits on a table for which the coefficient of static
friction between the table and the block is 0.24. Block A is tied to a string
which connects to two other strings at a knot. One of the strings is tied to
the wall and makes an angle of 35 degrees to the horizontal. The other is
vertical and is tied to block B. What is the maximum weight of block B, if the
system is in static equilibrium?
S9A
A big brass lantern hangs from three chains as shown below. The chain C1 is at
an angle of 50 degrees below the horizontal, while the chain C2 makes an angle
of 60 degrees with the vertical. These two chains join at the knot and the
lantern hangs from the vertical chain, C3. If the lantern has a mass of 23 kg,
find the tension in chain C1.
VEC1A
A swimmer wishes to reach a swimming float which is 200.0 m away and 35 degrees
west of north. Find the x and y component of the swimmer's total displacement
when she reaches the float.
VEC1B
A swimmer is swimming at 2.00 m/s in a direction 35 degrees east of north. Find
the x and y components of the swimmer's velocity.
VEC1C
A man walks his dog. The dog pulls on the leash with a horizontal force of 275 N
in a direction 40 deg south of west. Find the x and y components of the force
on the man applied by the leash.
VEC1D
A car accelerates at 3.00 m/s^2 in a direction 72 deg east of south. Find the x
and y components of the acceleration.
VEC2A
The quarterback throws the football at a velocity of 7.50 m/s in a direction of
156 deg with respect to the standard x-axis. Find the x and y components of the
footballs's velocity.
VEC2B
A man is walking with his young son and the child is pulling on his arm with a
force of 75.0 N in the direction of 340 deg with respect to the standard x-axis.
Find the x and y components of the footballs's velocity.
VEC2C
A battle-bot is driven so that it moves 2.80 m in a direction 19 deg with
respect to the standard x-axis. Find the x and y components of the bot's
displacement
VEC2D
A dog sees a rabbit and accelerates at 2.31 m/s^2 toward it in a direction 206
deg with respect to the standard x-axis. Find the x and y components of the
rabbit's acceleration.
VEC3A
A jogger runs 4 km north, 2 km east, 1 km south, 4 km west and collapses.
Determine the magnitude of the jogger's total displacement.
VEC3B
A hiker walks 3.4 km along a path heading due north. She then turns onto a path
heading due west and walks 5.6 km. What is the magnitude and direction of her
total displacement from her starting point.
VEC4A
Rocky the squirrel scampers 1.34 m along a path heading due east when he spots
an acorn at an angle of 12 deg north of east. He runs 2.13 m to pick it up.
What are the x and y components of his total displacement?
VEC4B
Two college students, John and Mary, are driving separate bumper cars at a
carnival. John pushes an empty car 4.17 m at an angle of 29 deg east of north.
Then Mary's car pushes it 5.63 m at an angle of 37 deg west of north. Find the
x and y components of the total displacement of the empty car.
VEC4C
A dog chases a frisbee 9.71 m in a direction of 56 deg east of south. A gust of
wind suddenly changes the direction of the frisbee to 12 deg south of west. The
dog chases the frizbee another 15.6 m before he finally catches it. Find the x
and y components of the total displacement of the frisbee
VEC4D
A dog runs 7.26 m along a path heading 76 deg east of north when he spots a cat
at an angle of 64 deg south of east. He runs 4.2 m before the cat climbs 2.1 m
into a tree. What are the x and y components of the dog's total displacement?
VEC5A
A bee flies 0.321 m at an angle of 32 deg with respect to the standard standard
x-axis and lands on a black-eyed susan. It then spots a pansy and flies to it.
If the total displacement of the bee is 0.475 m at an angle of 38 deg with
respect to the standard x-axis, find the x and y components of the displacement
for the bee's flight from the black-eyed susan to the pansy.
VEC5B
A midshipman drives from Annapolis to Pittsburgh to visit his girlfriend, a
distance of 268 miles in a direction of 155 deg with respect to the standard xaxis. He then drives to Richmond to visit his parents. His total displacement
(Annapolis to Richmond) is 144 miles in a direction of 256 deg with respect to
the standard x-axis. Find the x and y components of the Pittsburgh to Richmond
leg of the journey.
VEC5C
A midshipman flies from Annapolis to Acapulco for spring break. On the way back,
she flies to St Louis to visit her parents, a distance of 2156 mi in a direction
68 deg with respect to the standard x-axis. The total displacement (Annapolis
to St Louis) is 1446 miles in a direction of 195 deg with respect to the
standard x-axis. Find the x and y components of the Annapolis to Acapulco leg
of the journey.
VEC5D
Joe kicks the soccer ball to Bob. Bob then kicks the ball to Tom who is 39.5 m
away in a direction of 27 deg with respect to the standard x-axis. Tom is
standing a distance 31.7 m from Joe in a direction of 82 deg with respect to the
standard x-axis. Find the x and y components of the ball's displacement in
going from Joe to Bob.
VEC6A
At t=0 s, a particle moving in the xy plane with constant acceleration has a
velocity of (3.00 i - 2.00 j) m/s at the origin. At t=3.00 s, the particle's
velocity is (9.00 i + 7.00 j) m/s. Find the average acceleration of the particle
expressed in component form.
VEC6B
At time t1, a particle moving in the xy plane with constant acceleration has a
velocity of (3.00 i + 4.00 j)m/s at the origin. At time t2 the particle's
velocity is (-1.00 i + 2.00 j) m/s. The acceleration for the time interval is
(-8.00 i + -4.00 j) m/s^2. Find the length of the time interval.
VEC6C
At t=0s, a particle moving in the xy plane with constant acceleration has a
velocity of (4.00 i + 2.00 j)m/s at the origin. The acceleration is (6.00 i +
7.00 j) m/s^2. Find the velocity of the particle at t=3.00 s expressed in
component form.
VEC6D
At t=5.00 s, a particle moving in the xy plane with constant acceleration has a
velocity of (15.0 i + 18.0 j)m/s at the origin. The acceleration is (3.00 i +
2.00 j) m/s^2. Find the velocity of the particle at t=0s expressed in component
form.
VEC7A
A hiker wishes to reach a point which is 10.0 km away and 40.0 degrees east of
north from his current position. He sets off along a path which is due east and
travels 3.3 km. From this position, how far and in what direction should he walk
to reach his goal?
VEC8A
An airplane is flying at 207 m/s in a direction of 57 deg with respect to the xaxis. The pilot receives instructions to change course. After a time interval
of 145 s its velocity is 243 m/s in a direction of 324 deg with respect to the
standard x-axis. Find the x and y components of the average acceleration during
the change of course.
VEC8B
A runner is running laps at a velocity with constant magnitude of 3.30 m/s. As
he rounds the curve his direction changes from 137 deg to 243 deg with respect
to the standard x-axis, within a period of 3.72 s. Find the x and y components
of the average acceleration during this time interval.
VEC8C
A NASCAR racer is driving at a velocity with constant magnitude of 82.4 m/s. As
he rounds the curve his direction changes from 258 deg to 351 deg with respect
to the standard x-axis, within a period of 7.23 s. Find the x and y components
of the average acceleration during this time interval.