A particle moves along the x-axis under a force that varies with position according…

PHYSICS · Subjective · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle moves along the x-axis under a force that varies with position according to

F(x)=2.5x\,\text{N}

for

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

and

F(x)=10-5(x-4)\,\text{N}

for

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

. Calculate the total work done on the particle as it moves from

x=0

x=6\,\text{m}

. Give both magnitude and sign in joules.