Question

The kinetic energy of a particle moving along a circle of radius $R$ is $K$. The force acting on the particle is

• A. $\frac{K}{R}$
• B. $\frac{2K}{R}$
• C. $\frac{K}{2R}$
• D. $\frac{K}{R^2}$

Answer 1

The Correct Option is B

Kinetic energy of a particle, $K=\frac{1}{2}mv^{2}\quad...\left(i\right) $ where $m$ is the mass and $v$ be speed of the particle. Force acting on the particle is $F = \frac{mv^{2}}{R} $ $ F= \frac{2K}{R} $ (Using$(i)$)