AP Physics 1 : Linear Motion and Momentum
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Example Questions
Example Question #251 : Linear Motion 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?
None of these
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
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 #62 : 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 heavier car will have twice the kinetic energy
The lighter car will have four times the kinetic energy
The heavier car will have half the kinetic energy
The heavier car will have one-fourth the kinetic energy
None of these
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 #69 : 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 #70 : 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 #71 : Impulse And Momentum
A blob in space of mass 
None of these
Using
Plugging in values:
Example Question #72 : Impulse And Momentum
A 
Using
Converting 
Example Question #71 : Impulse And Momentum
A bullet weighing 
Using the equation of momentum,
we can compare the initial and final scenarios and set them equal to each other to solve for the final velocity of the block (don't forget to convert the units of 
Example Question #71 : Impulse And Momentum
A 
Impulse is defined as a change in momentum:
Pay attention to direction, because this changes the sign!
Example Question #75 : Impulse And Momentum
Force 1 acts on an object for 
Which force changes the momentum of the object more?
Force 2
It's impossible to tell.
Force 1
Force 1 and Force 2 change the momentum of the object the same amount.
There is no momentum change in either situation.
Force 1 and Force 2 change the momentum of the object the same amount.
The impulse momentum theorem states:
Where 
The change in momentum due to Force 1 can be found by:
And the change in momentum due to Force 2 can be found by:
So both situations produce the same change in momentum.
It's important to understand that both force and time have a linear relationship with momentum, meaning that as either force and/or time increase, momentum will also increase.
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