AP® Physics 1 & 2

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Moderate

Impulse Momentum Theorem

APPH12-J7WL5T

A cart with a mass of $25 \text{kg}$ 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 $10 \text{ seconds}$ the force is $50\text{ Newtons}$.

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.