A force acting on a body moving along the -axis is given by

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

Problem

A force acting on a body moving along the

x

-axis is given by

F(x)=\begin{cases}ax,&0\leq x\leq2\,\text{m}\\a(4-x),&2<x\leq4\,\text{m}\end{cases}

, where

a

is a positive constant. Find the total work done by the force when the body travels from

x=0

x=4\,\text{m}

. (a)

8a\,\text{J}

(b)

4a\,\text{J}

(c)

2a\,\text{J}

(d)

0\,\text{J}