A particle moves from to along a straight line under a force defined as follows: •…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle moves from

x=0

x=6\,\text{m}

along a straight line under a force defined as follows: •

F = 6\,\text{N}

for

0\le x\le 2\,\text{m}

, •

F

decreases linearly from

6\,\text{N}

x = 2\,\text{m}

-4\,\text{N}

x = 4\,\text{m}

, •

F = -4\,\text{N}

for

4\le x\le 6\,\text{m}

. Find the average force acting on the particle over the entire

6\,\text{m}

displacement. (a)

2\,\text{N}

(b)

-0.67\,\text{N}

(c)

1\,\text{N}

(d)

0.67\,\text{N}