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Momentum/2D Dynamics

Total questions: 56

Worksheet time: 56mins

Name
Class
Date
1.
A cart rolls down an inclined plane with constant speed as shown in the diagram below. Which arrow represents the direction of frictional force?
a)
A
b)
B
c)
C
d)
D
2.
A 10.-newton block is sliding down a 30-degree incline at a constant speed. What is the force of friction?
a)
5N
b)
4.9N
c)
10N
d)
98N
3.
The diagram represents an object being held at rest on a frictionless incline. The net force is equal to
a)
zero
b)
normal force
c)
weight
d)
friction
4.

If there is no friction, then the acceleration would be equal to

a)

mg

b)

sin(θ)mg

c)

g

d)

sin(θ)g

5.

As the angle of the incline increases, what happens to the normal force?

a)

The normal force increases

b)

The normal force decreases

c)

The normal force is not affected by the incline

d)

The normal force is only dependent on the force due to gravity

6.
Which of the following is true about the system shown?
a)
The system is not accelerating.
b)
The tension between m2 and m1 is less than the tension between m2 and m3
c)
The acceleration of the system only depends on m3
d)
None of the other answers are true
7.

Which of the following statements is true about the image above?

a)

The accelerations of the blocks will vary according to their mass

b)

The net force acting on each block is the same

c)

The blocks will experience the same acceleration

d)

The 3m box will eat the 2m and the m boxes

8.
Assuming both objects are at rest, which object is more massive? M1 or M2?
a)
M1 is more massive
b)
M2 is more massive
c)
both M1 and M2 are the same mass
9.

A man standing on a scale in an elevator notices that the scale reads 40 newtons greater than his normal weight. Which type of movement of the elevator could cause this greater-than-normal reading?

a)

accelerating upward

b)

accelerating downward

c)

moving upward at a constant speed

d)

moving downward at a constant speed

10.

Is it possible for the normal force to be zero?

a)

Yes. If the surface is horizontal.

b)

Yes. If the surface is vertical

c)

No. FN will always be less than Fg

d)

No. Fg will be less than FN.

11.
A ball of mass m is suspended from two strings of unequal length as shown above. The magnitudes of the tensions T1 and T2 in the strings must satisfy which of the following relations?
a)
 T1 = T2
b)
T1 > T2
c)
 T1 < T2
d)
 Tl + T2 = mg
12.
When the frictionless system shown above is accelerated by an applied force of magnitude the tension in the  string between the blocks is 
a)
F 
b)
2/3 F
c)
½ F 
d)
1/3 F
13.
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)
greater than W
b)
greater than zero but less than W
c)
equal to W
d)
0
14.
A 6.0 kg block initially at rest is pushed against a wall by a 100 N force as shown. The coefficient of kinetic friction is 0.30 while the coefficient of static friction is 0.50. What is true of the friction acting on the block after a time of 1 second?
a)
Static friction acts upward on the block
b)
Kinetic friction acts upward on the block
c)
Kinetic friction acts downward on the block.
d)
Static friction acts downward on the block.
15.
A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true?
a)
P > f and N < W.
b)
P > f and N = W.
c)
P = f and N > W.
d)
P = f and N = W.
16.

The blocks shown in the figures have equal masses and are made of the same material. In Figure (C), the blocks are tied together with a light string. The velocity is the same in each figure. The total frictional force exerted by the surface on the blocks is

a)

the same in Figure (C) and Figure (B).

b)

the same in Figures (A), (B), and (C).

c)

greater in Figure (C) than in Figure (A) or Figure (B).

d)

the same in Figure (C) as in Figure (A).

17.

A block of mass m is pulled by a force T at an angle 𝜽 above the horizontal in the direction shown across a rough surface at a constant velocity. The coefficient of kinetic friction between the block and the surface is mk. The magnitude of the frictional force is

a)

µkmg

b)

µkT cos 𝜽

c)

µk(T – mg)

d)

µk(mg – T sin 𝜽)

18.

A mass m is placed on a rough incline at an angle 𝜽 to the horizontal. A force F is applied up the incline and it is just enough to prevent the mass from sliding down the incline. Using the compass lines, the direction of the frictional force is along

a)

A

b)

B

c)

C

d)

D

19.

Which of the following is not true about the system?

a)

T3 is equal to the scalar sum of the magnitudes of T2 and T1

b)

T3 is equal in magnitude to Fg

c)

The x- components of the T1 and T2 and equivalent but in opposite directions

d)

The system is in equilibrium.

20.

If μk = 0.65 and μs = 0.7, acceleration would be equal to

a)

0 m/s/s

b)

9.8 m/s/s

c)

3.35 m/s/s

d)

-2.63 m/s/s

21.

A car travels up a hill at constant speed. Which of the following diagrams best represents the forces acting on the car at this instant?

a)
b)
c)
d)
22.

Three forces of equal magnitude act on the box shown. One force is upward, one downward, and one rightward. Which of the following statements must be true based on this information? Select two answers.

a)

The box must have a rightward component of velocity.

b)

The box has no vertical component of velocity.

c)

The acceleration of the box is directed to the right.

d)

The velocity of the box is changing with time.

23.
Which of the following is equal in magnitude to the Normal Force?
a)
(M1)(g)sin28⁰
b)
(M1)(g)cos28⁰
c)
(M2)(g)sin28⁰
d)
(M2)(g)cos28⁰
24.
If both boxes are at rest in the picture above, what force is equal to the tension in the string?
a)
The weight of M1
b)
The weight of M2
c)
(M1)(g)cos28⁰
25.

The graph above shows the force on an object of mass M as a function of time. For the time interval 0 to 4 s, the total change in the momentum of the object is

a)

40 kgm/s

b)

20 kgm/s

c)

0 kgm/s

d)

-20 kgm/s

e)

indeterminable unless the mass M of the object is known

26.

The graph above shows the force acting on an object as a function of time. The change in momentum of the object from time 0 to t is

a)

2Ft

b)

Ft

c)

0.5 Ft

d)

0.25 Ft

e)

zero

27.

An object moving on a horizontal, frictionless surface makes a glancing collision with another object initially at rest on the surface. In this case which of the following is true about momentum and kinetic energy?

a)

Momentum is always conserved, and kinetic energy may be conserved

b)

Kinetic energy is always conserved, and momentum may be conserved.

c)

Momentum is always conserved, and kinetic energy is never conserved

d)

Both momentum and kinetic energy are always conserved

e)

Neither momentum nor kinetic energy is conserved

28.

A projectile is launched from the ground at a 23 degree angle with a velocity of 67 m/s. Calculate the maximum height of the projectile.

a)

35 m

b)

40 m

c)

23 m

d)

96 m

e)

474 m

29.
What is the kinetic energy of the rock just before it hits the ground?
a)
mgh
b)
1/2mv²
c)
1/2mv² - mgh
d)
1/2mv² + mgh
30.
A ball is suspended by a lightweight string, as shown in the figure.   The ball is displaced to position 1 and released. The four labelled positions are evenly spaced along the arc of the ball's motion.  
Between which adjacent pairs is the gain in kinetic energy the greatest?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
They are all equal
31.
Three forces act on an object.  If the object is in translational equilibrium, which of the following must be true:
i. The vector sum of the three forces must equal zero.
ii. The magnitude of the three forces must be equal.
iii. All three forces must be parallel.
a)
i only
b)
ii only
c)
i & iii only
d)
i, ii, & iii only
32.
Which position has the most potential energy?
a)
A
b)
G
c)
C
d)
D
33.

The area under a force vs. displacement graph tells you the

a)

mass of the object

b)

momentum of the object

c)

work done on the object

d)

impulse of the object

34.

A go-kart of mass M collides with an identical go-kart of mass M as shown. The trailing go-kart is going at 3 m/s before the collision and the leading go-kart is going at 2 m/s in the same direction. After the two go-karts collide and separate, the leading go-kart now is going at 3 m/s and the trailing go-kart goes at 2 m/s in the same direction. Which of the following is true of the collision?

a)

It is elastic because momentum is conserved.

b)

It is elastic because kinetic energy is conserved.

c)

It is inelastic because momentum is not conserved.

d)

It is inelastic because kinetic energy is not conserved.

35.

A dart of mass 0.2 kg is launched from ground level at speed 10 m/s at an angle of 30 degrees above the horizontal as shown. At the apex of the dart’s trajectory, it strikes and sticks to a block of mass 2.0 kg, which is attached to a 1.2 m string. What maximum angle does the string make with the vertical after being the block is struck by the dart?

a)

62 degrees

b)

22 degrees

c)

38 degrees

d)

13 degrees

36.

Waluigi drops a 0.2 kg bouncy ball from a height 20 m. It rebounds and reaches a maximum height of 5 m. What is the magnitude of the impulse that the ground exerts on the ball?

a)

6.0 Ns

b)

4.0 Ns

c)

3.0 Ns

d)

2.0 Ns

37.

Rank the objects in terms of the speed of the blocks just before hitting the ground

a)

vA>vC>vBv_A>v_C>v_B

b)

vA>(vB=vC)v_A>\left(v_B=v_C\right)

c)

vB>(vA=vC)v_B>\left(v_A=v_C\right)

d)

vA=vB=vCv_A=v_B=v_C

38.
Which has a greater momentum a semi-truck at rest or a bicycle in motion?
a)
truck
b)
bicycle
c)
neither has momentum
d)
same
39.
What is the horizontal acceleration of a projectile?
a)
0 m/s2
b)
9.8 m/s2
c)
4.9 m/s2
d)
-9.8 m/s2
40.

A man is launched out of a cannon with a speed of 40 m/s at 45 degrees with respect with the ground. Which of the following is true about his acceleration at the highest point?

a)

the acceleration is unknown

b)

the acceleration is horizontal

c)

the acceleration is straight down

d)

the acceleration is straight up

41.
What is impulse?
a)
force done on an object
b)
Inertia in motion
c)
Change in momentum
d)
Amount of energy possessed by an object.
42.

When a cannon fires a cannonball, the cannon will recoils backwards because:

a)

Energy if the cannonball and cannon is conserved

b)

Momentum of the cannonball and cannon is conserved

c)

Energy of the cannon is greater than the energy of the cannonball

d)

Momentum of the cannon is greater than the energy of the cannonball

43.

In an elastic collision, if the momentum is conserved, then which of the following statements is true about kinetic energy?

a)

Kinetic energy is also conserved

b)

Kinetic energy is gained

c)

Kinetic energy is lost

d)

None of the above

44.

The area under the curve on a Force versus time ( F vs t) graph represents

a)

Impulse

b)

Momentum

c)

Work

d)

Kinetic energy

45.

Two objects collide and bounce off each other. Linear momentum is:

a)

Definitely conserved

b)

Definitely not conserved

c)

Conserved only if the collision is elastic

d)

Conserved only if the environment is friction less

46.

A freight car moves along a friction less level railroad track at constant speed. The car is open on top. A large load of coal is suddenly dumped into the car. What happens to the velocity of the car?

a)

It increases

b)

It remains the same

c)

It decreases

d)

Cannot be determined from the information given

47.
Cart A is pulled with a 2 Newton force for 2 seconds, and Cart B is pulled with a 1 Newton force for 3 seconds.  Which cart experiences the greatest impulse?
a)
Cart B
b)
Cart A
c)
they are the same
48.
A bug flies into the windshield of a car going the opposite way. Which of the following are true.
a)
the force of impact is the same for both
b)
the impulse is the same for both
c)
the acceleration of the bug is larger than the truck
d)
A, B, and C are all true
49.
The purpose of crumble zones on a car is to
a)
decrease time of impact.
b)
increase force of impact.
c)
increase the time of impact.
d)
decrease the impulse during impact.
50.
A bullet traveling at 500 m/s is brought to rest by an impulse of 50 N*s.  What is the mass of the bullet?
a)
10 kg
b)
0.1 kg
c)
0.01 kg
d)
2500 kg
51.

An object is moving in the positive x-direction while a net force directed along the x-axis is exerted on the object. The figure above shows the force as a function of position. What is the net work done on the object over the distance shown?

a)

F0dF_0d

b)

3F0d2\frac{3F_0d}{2}

c)

2F0d2F_0d

d)

4F0d4F_0d

52.
A block weighing 10.0 newtons is on a ramp inclined at 30.0° to the horizontal. A 3.0-newton force of friction, Ff , acts on the block as it is pulled up the ramp at constant velocity with force F, which is parallel to the ramp, as shown in the diagram below. What is the magnitude of force F?
a)
7N
b)
8N
c)
10N
d)
13N
53.

An object weighing 300 N is suspended by means of two cords, as shown above. The tension in the horizontal cord is

a)

0 N

b)

150 N

c)

210 N

d)

300 N

e)

400 N

54.

Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break?

a)

A

b)

B

c)

C

d)

They must all be the same strength

e)

It is impossible to determine without knowing the coefficient of friction

55.

Two 0.60-kilogram objects are connected by a thread that passes over a light, frictionless pulley, as shown above. The objects are initially held at rest. If a third object with a mass of 0.30 kilogram is added on top of one of the 0.60-kilogram objects as shown and the objects are released, the magnitude of the acceleration of the 0.30-kilogram object is most nearly

a)

10.0 m/s/s

b)

6.0 m/s/s

c)

3.0 m/s/s

d)

2.0 m/s/s

e)

1.0 m/s/s

56.
The ball took 0.45 s to hit the ground 0.72 m from the table. What was the horizontal velocity of the ball as it rolled off the table?
a)
0 m/s
b)
0.63 m/s
c)
1.6 m/s
d)
2.2 m/s

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