All AP Physics 1 Resources
Example Questions
Example Question #61 : Impulse And Momentum
An object travels for with a force of . For the next , the object travels with a constant force of . What is the change in the momentum for the object in the first ?
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 , not the entire time stated in the problem.
Example Question #62 : Impulse And Momentum
A truck is driving at relative to the ground. A rocket is launched from the roof backwards at relative to the ground. Determine the final velocity of the truck.
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 man is running at . From that run, he jumps on a skateboard of mass of . Assuming no energy lost to friction, determine the final velocity of the man on the board.
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 , and obtains a maximum velocity of , determine the momentum of the second cart. The second cart has a mass of .
in the opposite direction of the first cart
in the same direction of the first cart
in the same direction of the first cart
None of these
in the opposite direction of the first cart
in the opposite direction of the first cart
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 , and obtains a maximum velocity of , determine the momentum of the second cart. The second cart has a mass of .
in the same direction
in the same direction
in the opposite direction
in the opposite direction
in the opposite direction
in the opposite direction
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 man is running at . From that run, he jumps on a skateboard of mass of . Assuming no energy lost to friction, determine the impulse experienced by the board
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 has a mass twice that of car . The rockets are identically fired for , then shut off.
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 is momentum, is mass, and is velocity
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 has a mass twice that of car . The rockets are identically fired for , then shut off.
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 man is running at . From that run, he jumps on a skateboard of mass of . Assuming no energy lost to friction, determine the impulse experienced by the board
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 #64 : Impulse And Momentum
A man is running at . From that run, he jumps on a resting skateboard of mass of . Assuming no energy lost to friction, determine the final velocity of the man on the board.
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
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