Question

A body covers a distance of $4m$ under the action of force $F=(17-4x)N$ where x is the metres. The work done by the force is

• A. $32J$
• B. $20J$
• C. $36J$
• D. None

Answer 1

The correct option is C $36J$

Given,

$F=(17-4x)N$

Work done by the force, $dW=F.dx$

$W={\int }_0^4(17-4x)dx=17x{|}_0^4-\frac{4x^2}{2}{|}_0^4$

$W=17(4-0)-2(16-0)$

$W=68-32=36J$

The correct option is C.