Question

The kinetic energy of particle moving along a circle of radius, $R$, depends upon the distance covered, $S$, and is given by $K=aS$, where $a$ is a constant. Then, the force acting on the particle is

• A. $\frac{aS}{R}$
• B. $\frac{2(aS{)}^2}{R}$
• C. $\frac{a{S}^2}{R^2}$
• D. $\frac{2aS}{R}$

Answer 1

The correct option is D $\frac{2aS}{R}$

Centripetal force $=\frac{m{v}^2}{R}$

$=\left[\frac{1}{2}m{v}^2\right]\frac{2}{R}=\frac{2K}{R}=\frac{2aS}{R}$