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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.