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AP Dynamics Review

Total questions: 12

Worksheet time: 24mins

Name
Class
Date
1.

Two people are pulling on the ends of a rope. Each person pulls with a force of 100 N. The tension in the rope is:

a)

0 N

b)

50 N

c)

100 N

d)

200 N

2.

Three forces act on an object. If the object is moving to the right in translational equilibrium, which of the following must be true? Select two answers.

a)

All three forces must be parallel.

b)

The object must be moving at a constant speed.

c)

The magnitudes of the three forces must be equal.

d)

The vector sum of the three forces must equal zero.

3.

A block of weight W is pulled along a horizontal surface at constant speed v by a force F, which acts at an angle of θ with the horizontal, as shown above. The normal force exerted on the block by the surface has magnitude

a)

W - F cosθ 

b)

W + Fsinθ

c)

W-Fsinθ

d)

W + Fcosθ

e)

W

4.

A crate of toys remains at rest on a sleigh as the sleigh is pulled up a hill with an increasing speed. The crate is not fastened down to the sleigh. What force is responsible for the crate’s increase in speed up the hill?

a)

the contact force (normal force) of the ground on the sleigh

b)

no force is needed

c)

the gravitational force acting on the sleigh

d)

the force of static friction of the sleigh on the crate

5.

Given the three masses as shown in the diagram above, if the coefficient of kinetic friction between the large mass (m2) and the table is µ, what would be the upward acceleration of the small mass (m3)? The mass and friction of the cords and pulleys are small enough to produce a negligible effect on the system.

a)

gµ(m1 + m2 + m3)/ (m1 – m2 – m3)

b)

g(m1 – µm2 – m3)/ (m1 + m2 + m3)

c)

gµ(m1 – m2 – m3)/ (m1 + m2 + m3)

d)

g(m1 + m2µ)/(m1 + m2 + m3)

6.

Box A of mass m sits on the floor of an elevator, with box B of mass 2m on top of it, as shown in the figure above. The elevator is moving upward and slowing down. FA is the magnitude of the force exerted on box A by box B, FB is the magnitude of the force exerted on box B by box A, and Fg is the magnitude of the gravitational force exerted on box B. Which of the following ranks the forces in order of increasing magnitude?

a)

(FB = FA) < Fg

b)

FB = FA=Fg

c)

FB  < (FA =Fg)

d)

FB < Fg < FA

7.

A push broom of mass m is pushed across a rough horizontal floor by a force of magnitude T directed at angle θ as shown above. The coefficient of friction between the broom and the floor is μ. The frictional force on the broom has magnitude

a)

μ(mg + Tsinθ)

b)

μ(mg-Tcosθ)

c)

μmg

d)

μ(mg+ Tcosθ)

e)

μ(mg-Tsinθ)

8.

A tractor-trailer truck is traveling down the road. The mass of the trailer is 4 times the mass of the tractor. If the tractor accelerates forward, the force that the trailer applies on the tractor is

a)

¼ the force of the tractor on the trailer.

b)

2 times greater than the force of the tractor on the trailer.

c)

equal to the force of the tractor on the trailer.

d)

4 times greater than the force of the tractor on the trailer.

9.

The cart of mass 10 kg shown above moves without frictional loss on a level table. A 10 N force pulls on the cart horizontally to the right. At the same time, a 30 N force at an angle of 60° above the horizontal pulls on the cart to the left. Which of the following describes a manner in which this cart could be moving? Select two answers.

a)

moving right and speeding up

b)

moving right and slowing down

c)

moving left and speeding up

d)

moving left and slowing down

10.

A simple Atwood's machine is shown in the diagram above. It is composed of a frictionless lightweight pulley with two cubes connected by a light string. If cube A has a mass of 4.0 kg and cube B has a mass of 6.0 kg, the system will move such that cube B accelerates downwards. What would be the tension in the two parts of the string between the pulley and the cubes?

a)

TA = 48 N ;

TB = 42 N

b)

TA = 48 N ;

TB = 48 N

c)

TA = 48 N ;

TB = 72 N

d)

TA = 40 N ;

TB = 40 N

11.

Two blocks of masses m and M are suspended as shown above by strings of negligible mass. If a person holding the upper string lowers the blocks so that they have a constant downward acceleration a, the tension in the string at point P is

a)

(M+m)g-ma

b)

M(g-a)

c)

Mg

d)

(M+m)g-Ma

e)

Mg-(M+m)a

12.

A box slides to the right across a horizontal floor. A person called Ted exerts a force T to the right on the box. A person called Mario exerts a force M to the left, which is half as large as the force T. Given that there is friction f and the box accelerates to the right, rank the sizes of these three forces exerted on the box.

a)

f = M < T

b)

M < T < f

c)

M < f < T

d)

f < M < T