The KE of a particle moving along a circle of radius r is K = β x^2 , where x is the distance covered. What is the force acting on the particle ?

Q: The KE of a particle moving along a circle of radius r is K = β x² , where x is the distance covered. What is the force acting on the particle ?

(a) $2 \beta (1 – \frac{r^2}{x^2}) $

(b) $ 2 \beta \frac{r^2}{x^2} $

(c) $2 \beta x $

(d) $2 \beta x (1 – \frac{r^2}{x^2})^{1/2} $

Ans: (d)