A cart initially moves to the right with speed

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

3\,\text{kg}

cart initially moves to the right with speed

4\,\text{m\,s}^{-1}

. It is then acted upon by a force that varies with time as described below: 1.

t=0

2\,\text{s}

: force rises linearly from

0

12\,\text{N}

. 2.

t=2

4\,\text{s}

: force remains constant at

12\,\text{N}

. 3.

t=4

6\,\text{s}

: force is constant at

-6\,\text{N}

. Ignoring all other forces, calculate the cart’s speed (in m s

^{-1}

) at

t=6\,\text{s}

. (a)

8

(b)

12

(c)

16

(d)

4