Question

A block of mass $m$ is pulled along a circular are by means of a constant horizontal force $F$ as shown. Work done by this force in pulling the block from $A$ to $B$ is-

• A. $\frac{FR}{2}$
• B. $FR$
• C. $\frac{\sqrt{3}}{2}FR$
• D. $mgR$

Answer 1

The correct option is C $\frac{\sqrt{3}}{2}FR$

Work done $=Fd$, Where $d$ is displacement in direction of $F$.

$\Rightarrow \text{Work done}=FRsin\left({60}^o\right)=\frac{\sqrt{3}}{2}FR$