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AP® Physics 1 & 2

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Moderate

Impulse Momentum Theorem

APPH12-J7WL5T

A cart with a mass of 25 kg is acted upon by a force that increases uniformly with time. The cart starts at rest. At the beginning of the interval, the force is zero Newtons. After 10 seconds the force is 50 Newtons.

What is the best value for the final speed of the cart and how was it determined?

A

The final speed of the cart is $2\text{ m/s}$. This was determined by using dividing the force by the mass.

B

The final speed of the cart is $20\text{ m/s}$. This was determined by multiplying the given force by the time to obtain impulse and the change in momentum.

C

The final speed of the cart is $5\text{ m/s}$. This was determined by making a graph and determining the impulse using the slope,

D

The final speed of the cart is $10\text{ m/s}$. This was determined by making a graph and determining the impulse using area.