Question

The kinetic energy $K$ of a particle moving in a straight line depends upon the distance $s$ as $K=a{s}^2$ The force acting on the particle is

• A. $2as$
• B. $2mas$
• C. $2a$
• D. $\sqrt{a{s}^2}$

Answer 1

The correct option is A $2as$

Kinetic energy $K=a{s}^2$

Force acting on the particle $F=\frac{dK}{ds}$

$\therefore$ $F=\frac{d}{ds}\left(a{s}^2\right)$

$⟹$ $F=2as$