Question

A body is acted upon by a force which is proportional to the distance covered. If distance covered by denoted by x, then work done by the force will be proportional to:

• A. $x$
• B. $x^2$
• C. $x^{\frac{3}{2}}$
• D. $x^4$

Answer 1

Answer: (B)

$x^2$

Here, Force $F\propto x$ or $F=cx$ where c is propotionality constant

Work done $W=Fx=cx\times x=c{x}^2$

So, $W\propto x^2$