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WorksheetsAP Linear Momentum
Total questions: 15
Worksheet time: 28mins
Name
Class
Date
1.
A car of mass m, traveling at speed v, stops in time t when maximum braking force is applied. Assuming the braking force is independent of mass, what time would be required to stop a car of mass 2m traveling at speed v?
a)
½t
b)
t
c)
√2 t
d)
2t
2.
Two objects, P and Q, have the same momentum. Q can have more kinetic energy than P if it has:
a)
More mass than P
b)
The same mass as P
c)
More speed than P
d)
The same speed as P
3.
A spring is compressed between two objects with unequal masses, m and M, and held together. The objects are initially at rest on a horizontal frictionless surface. When released, which of the following is true?
a)
The total final kinetic energy is zero.
b)
The two objects have equal kinetic energy.
c)
The speed of one object is equal to the speed of the other.
d)
The total final momentum of the two objects is zero.
4.
Two football players with mass 75 kg and 100 kg run directly toward each other with speeds of 6 m/s and 8 m/s respectively. If they grab each other as they collide, the combined speed of the two players just after the collision would be:
a)
2 m/s
b)
3.4 m/s
c)
4.6 m/s
d)
7.1 m/s
5.
A 5000 kg freight car moving at 4 km/hr collides and couples with an 8000 kg freight car which is initially at rest. The approximate common final speed of these two cars is
a)
1 km/h
b)
1.3 km/h
c)
1.5 km/h
d)
2.5 km/h
6.
Two pucks are firmly attached by a stretched spring and are held at rest on a frictionless surface. They are released simultaneously. If puck I has 3X the mass of puck II, which of the quantities is the same for both as the spring pulls the two pucks?
a)
Speed
b)
Magnitude of acceleration
c)
Kinetic energy
d)
Magnitude of momentum
7.
Which of the following is true when an object of mass m moving on a horizontal frictionless surface hits and sticks to an object of mass M > m, which is initially at rest on the surface?
a)
The collision is elastic.
b)
The momentum of the objects that are stuck together is smaller than the initial momentum of object m.
c)
The speed of the objects that are stuck together will be less than the initial speed.
d)
The direction of motion of the objects that are stuck together depends on whether the hit is a head-on collision.
8.
Two objects having the same mass travel toward each other on a flat surface each with a speed of 1.0 meter per second relative to the surface. The objects collide head-on and are reported to rebound after the collision, each with a speed of 2.0 meters per second relative to the surface. Which of the following assessments of this report is most accurate?
a)
Momentum was not conserved therefore the report is false.
b)
If potential energy was released to the objects during the collision the report could be true.
c)
If the objects had different masses the report could be true.
d)
If the surface was inclined the report could be true.
9.
An open cart on a level surface is rolling without frictional loss through a vertical downpour of rain. As the cart rolls, an appreciable amount of rainwater accumulates in the cart. The speed of the cart will
a)
increase because of conservation of mechanical energy
b)
decrease because of conservation of momentum
c)
decrease because of conservation of mechanical energy
d)
remain the same because the raindrops are falling perpendicular to the direction of the cart's motion
10.
A student obtains data on the magnitude of force applied to an object as a function of time and displays the data on the graph shown. The increase in the momentum of the object between t=0 s and t=4 s is most nearly
a)
40 N·s
b)
50 N·s
c)
60 N·s
d)
80 N·s
11.
The two blocks of masses M and 2M shown above initially travel at the same speed v but in opposite directions. They collide and stick together. How much mechanical energy is lost to other forms of energy during the collision?
a)
1/2 M v²
b)
3/4 M v²
c)
4/3 M v²
d)
3/2 M v²
12.
The graph 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 kg m/s
b)
20 kg m/s
c)
0 kg m/s
d)
– 20 kg m/s
13.
A 2 kg object initially moving with a constant velocity is subjected to a force of magnitude F in the direction of motion. A graph of F as a function of time t is shown. What is the increase, if any, in the velocity of the object during the time the force is applied?
a)
0 m/s
b)
3.0 m/s
c)
4.0 m/s
d)
6.0 m/s
14.
A ball of mass m with speed v strikes a wall at an angle θ with the normal, as shown. It then rebounds with the same speed and at the same angle. The impulse delivered by the ball to the wall is
a)
mv sin θ
b)
mv cos θ
c)
2mv sin θ
d)
2mv cos θ
15.
A student at rest on a frictionless frozen pond throws a 1.0 kg hammer in one direction. After the throw, the hammer moves off in one direction while the student moves off in the other. Which correctly describes the situation?
a)
The hammer will have the momentum with the greater magnitude
b)
The student will have the momentum with the greater magnitude
c)
The hammer will have the greater kinetic energy
d)
The student will have the greater kinetic energy
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