AP Physics 1 : AP Physics 1
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Example Questions
Example Question #60 : Impulse And Momentum
An object's momentum as a function of time is the following:
What is the force of the object (as a function of time) that causes the motion?
Therefore, we simply need to differentiate our momentum equation with respect to time to determine the force.
Example Question #61 : Impulse And Momentum
An object travels for 
Therefore, to find the change in the momentum, we need to sum the force in the various time intervals. Remember, we are only interested in the first 
Example Question #62 : Impulse And Momentum
A 
None of these
Using conservation of momentum.
The initial momentum is the combined mass of the truck and the rocket moving together
The final momentum is made up of the momentum of the truck and the rocket, which are now moving in opposite directions
Combining equations
Plugging in values:
Solving for
Example Question #63 : Impulse And Momentum
A 
None of these
Using conservation of momentum:
The man and the skateboard are stuck together, and thus become one mass:
Plugging in values:
Solving for
Example Question #64 : Impulse And Momentum
Two wagons are held together with a rope. Lodged between them, is a very powerful spring. The rope is suddenly cut, allowing the spring to launch the wagons. If the first wagon has a mass of 
None of these
Using conservation of momentum.
Since nothing is moving, the initial momentum is zero
The final momentum is made up of the momentum of the two carts
Combining equations
Plugging in values:
Solving for
The negative sign symbolizes that it will move in the opposite direction of the first cart.
Example Question #65 : Impulse And Momentum
Two wagons are held together with a rope. Lodged between them, is a very powerful spring. The rope is suddenly cut, allowing the spring to launch the wagons. If the first wagon has a mass of 
Using conservation of momentum.
Since nothing is moving, the initial momentum is zero
The final momentum is made up of the momentum of the two carts
Combining equations
Plugging in values:
Solving for
The negative sign symbolizes that it will move in the opposite direction of the first cart.
Example Question #61 : Impulse And Momentum
A 
None of these
Using conservation of momentum:
The man and the skateboard are stuck together, and thus become one mass:
Plugging in values:
Solving for
Definition of impulse:
Since initial momentum was zero:
Example Question #61 : Impulse And Momentum
Two identical rockets are placed on the back of cars. Car 
How do the final velocities of the cars compare?
The velocity of the lighter car will be one-fourth that of the heavier car
They will be the same
The velocity of the lighter car will be half that of the heavier car
None of these
The velocity of the heavier car will be half that of the lighter car
The velocity of the heavier car will be half that of the lighter car
Using
It can be seen that since both cars have the same force applied for equal amount of time, they have identical final momentums.
Using
Where 
It can be seen that if momentum is held constant, and mass is doubled, velocity will be cut in half.
Example Question #61 : Impulse And Momentum
Two identical rockets are placed on the back of cars. Car 
How do the final kinetic energies of the cars compare?
The lighter car will have four times the kinetic energy
None of these
The heavier car will have half the kinetic energy
The heavier car will have one-fourth the kinetic energy
The heavier car will have twice the kinetic energy
The heavier car will have half the kinetic energy
Using
It can be seen that since both cars have the same force applied for equal amount of time, they have identical final momentums.
Using
It can be seen that if momentum is held constant, and mass is doubled, then the kinetic energy of the heavier car will be half.
Example Question #61 : Impulse And Momentum
A 
None of these
Using conservation of momentum:
The man and the skateboard are stuck together, and thus become one mass:
Plugging in values:
Solving for
Definition of impulse:
Since initial momentum was zero:
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