Question

The kinetic energy of a particle moving along a circle of radius $R$ depends on distance (𝑠) as $K=A{s}^2$ where $A$ is a constant.

The speed of the particle around the circle is

• A. $2s{\left(\frac{A}{m}\right)}^{1/2}$
• B. $s{\left(\frac{2A}{m}\right)}^{1/2}$
• C. $s{\left(\frac{A}{2m}\right)}^{1/2}$
• D. $s{\left(\frac{A}{m}\right)}^{1/2}$

Answer 1

The correct option is B $s{\left(\frac{2A}{m}\right)}^{1/2}$

As we know, $K.E.=\frac{1}{2}m{v}^2$
Given, $K=A{s}^2$
$A{s}^2=\frac{1}{2}m{v}^2$
$v=s\sqrt{\frac{2A}{m}}$