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Physics 151 Week 10 Day 2
Topics: Newton’s 2nd Law and Applications
 Applying Newton’s 2nd Law
 Apparent Weight
 Brainstorm: What do we know about friction?
 Studying Friction
General Force Model
Newton 0th Law
Objects are dumb - They have no memory of the past and cannot predict the
future. Objects only know what is acting directly on them right now
Newton's 1st Law
An object that is at rest will remain at rest and an object that is moving will continue
to move in a straight line with constant speed, if and only if the sum of the forces
acting on that object is zero.
Newton's 3rd Law
Recall that a force is an interaction between two objects. If object A exerts a force
on object B then object B exerts a force on object that is in the opposite direction,
equal in magnitude, and of the same type.
Visualizations:
• Force Diagrams
• System Schema
Constant Force Model
Newton's 2nd Law
acceleration of an object = sum of forces acting on that object / the mass of the
object
Remainder of week:
Friction Model
Apparent Weight
Slide 4-19
Another look at the double-ended fan-cart
Slide 5-27
Example Problem
A 100 kg block with a weight of 980 N hangs on a rope.
Which Force is larger, FT, rope => block or Fg, Earth => block?
A. the block is stationary.
B. it’s moving upward at a steady speed of 5 m/s.
C. it’s accelerating upward at 5 m/s2.
Slide 5-15
Example Problem
A 100 kg block with a weight of 980 N hangs on a rope. Find
the tension in the rope if
A. the block is stationary.
B. it’s moving upward at a steady speed of 5 m/s.
C. it’s accelerating upward at 5 m/s2.
Slide 5-15
Example Problem
A sled with a mass of 20 kg slides along frictionless ice at 4.5 m/s.
It then crosses a rough patch of snow which exerts a friction force
of 12 N. How far does it slide on the snow before coming to rest?
Slide 5-21
Example Problem
A 75 kg skier starts down a 50-m-high, 10° slope on
frictionless skis. What is his speed at the bottom?
Slide 5-27
Scales and Elevators (Apparent Weight)
Consider a person with a mass of 60 kg is in an elevator
standing on a scale. The elevator is accelerating upward.
• Draw a system schema and 2 force diagrams:
One for the person and one for the scale
• What does the scale read?
• Use Newton’s 2nd law to determine what the scale
reads (This is apparent weight)
Slide 4-19
Apparent Weight
Slide 5-24
Scales and Elevators (Apparent Weight)
Suppose a person with a mass of 60 kg is in an elevator
standing on a scale.
Use the system schema and force diagrams of the scale and
the person to determine what the scale would read for the
following situations:
A. If the elevator is descending at 4.9 m/s.
B. If the elevator has a downward acceleration of
4.9 m/s/s.
C. If the elevator has an upward acceleration of
4.9 m/s/s.
Slide 4-19
Example Problem
A 50 kg student gets in a 1000 kg elevator at rest. As the elevator
begins to move, she has an apparent weight of 600 N for the first 3
s. How far has the elevator moved, and in which direction, at the
end of 3 s?
Slide 5-25
Clicker Question
The apparent weight of an object is
A. the pull of gravity on the object.
B. the object’s mass times the acceleration of gravity.
C. the magnitude of the contact force that supports the
object.
D. the pull of gravity on an object that is accelerating
upward.
Slide 5-7
Answer
2. The apparent weight of an object is
A. the pull of gravity on the object.
B. the object’s mass times the acceleration of gravity.
C. the magnitude of the contact force that supports the
object.
D. the pull of gravity on an object that is accelerating
upward.
Slide 5-8
Friction Brainstorm
One person in each team takes out a sheet of paper and
records their group brainstorming everything they know
about friction.
Example Problem
Burglars are trying to haul a 1000 kg safe up a frictionless ramp
to their getaway truck. The ramp is tilted at angle θ. What is the
tension in the rope if the safe is at rest? If the safe is moving up
the ramp at a steady 1 m/s? If the safe is accelerating up the
ramp at 1 m/s2? Do these answers have the expected behavior
in the limit θ → 0° and θ → 90°?
Slide 5-28
Example Problem
Macie pulls a 40 kg rolling trunk by a strap angled at 30° from
the horizontal. She pulls with a force of 40 N, and there is a 30 N
rolling friction force acting on trunk. What is the trunk’s
acceleration?
Slide 5-22
Demonstrations: What do we know about Friction Force?
2 - Increases with more contact surface
- Not dependent on surface area, but surface type
Does our model of friction depend on area?
Does real-world friction depend on area?
Parking on a Hill
A. If you park on a hill with a 10 degree slope with the car
held by the parking brake, what is the magnitude of the
frictional force that holds your car in place?
B. The coefficient of static friction between your car's
wheels and the road when wet is 0.30. What is the
largest angle slope on which you can park your car in the
rain so that it will not slide down the hill?
C. The coefficient of kinetic friction between your wheels
and the wet road surface is 0.25. If someone gave your
your car a push on the wet hill and it started sliding
down, what would its acceleration be?
Slide 4-19
Penguin in a box
A loaded penguin in a box, together weighing 60 N, rests on a plane
inclined at 20° to the horizontal. Between the box and the plane, the
coefficient of static friction is 0.26 and the coefficient of kinetic friction
is 0.15.
1. What is the minimum magnitude of the applied force F,
parallel to the plane, that will prevent the sled from
slipping down the plane?
2.
2.
Haul the Crate
A 10 kg wooden crate is placed on wood slats in the back of
a pick-up truck with no tail gate.
How fast can the truck accelerate before the crate falls off?
Assume the coefficient for static friction for the crate on the
wood slats is 0.40 and the coefficient for kinetic friction is
0.20.
Brainstorm: What do we know about Friction Force?
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Seems to relate to pushing force (Drag Force?)
- Increases with more contact surface
- Not dependent on surface area, but surface type
Car needs friction for acceleration including steering
Can determine acceleration along with other forces
2 types static and kinetic, once object starts moving crosses from Ffs to Ffk
/ also rotational/rolling Friction is smallest friction
Caused by electron repulsion between two objects
- Friction opposes (in opposite direction of) applied force
- Direction of Friction force is Opposite of direction of motion / acceleration
- Parallel to motion / Resists force of acceleration
Friction Force is a contact force that acts on an object by its surface
Converts Kinetic Energy to Thermal Energy
Friction Force depends on what is in contact (involves a coefficient )
Friction is resistance between 2 surfaces in contact / resists change
Friction does not depend on mass / related to weight
It slows things down and makes them stop (can be small/negligible)
Can occur doing motion or without motion
It acts two ways
It usually accompanies a normal force / perpendicular to normal force
It is in the negative y direction, parallel to the surface of an object
Ffs > Ffk - initially starting object moving is harder than keeping it moving
Static & Kinetic Friction
Describe what is happening to the forces on the box and the
effect of the forces on the motion of the box from the pictures.
Slide 4-19
Static & Kinetic Friction - Part III
Below is graph of the friction force exerted by the table on
the box.
A. Label times a-f that match the free-body diagrams in the
previous problem.
B. If the mass of the box is 3.0 kg, the maximum Ffs is 10 N,
and Ffk has an average of 6.0 N, find the coefficients of
static and kinetic friction.
Slide 4-19
Demonstrations: What do we know about Friction Force?
2 - Increases with more contact surface
- Not dependent on surface area, but surface type
Does our model of friction depend on area?
Does real friction depend on area?
Demonstration: What do we know about Friction Force?
7 - Friction opposes (in opposite direction of) applied force
- Direction of Friction force is Opposite of direction of motion / acceleration
- Parallel to motion / Resists force of acceleration
Does friction always oppose motion?
Brainstorm: What do we know about Friction Force?
18. Ffs > Ffk - initially starting object moving is harder than keeping it moving
Coefficients of Friction
What can you deduce/generalize about friction forces
from this table?
Describe 3-4 real world situations that can be explained
by this table
Slide 4-19
Clicker Question
The coefficient of static friction is
A.
B.
C.
D.
E.
smaller than the coefficient of kinetic friction.
equal to the coefficient of kinetic friction.
larger than the coefficient of kinetic friction.
equal to or larger than the coefficient of kinetic friction
not discussed in this chapter.
Slide 5-9
Answer
The coefficient of static friction is
A.
B.
C.
D.
E.
smaller than the coefficient of kinetic friction.
equal to the coefficient of kinetic friction.
larger than the coefficient of kinetic friction.
equal to or larger than the coefficient of kinetic friction
not discussed in this chapter.
Slide 5-10