Question

A particle of mass m moves with constant speed along a circular path of radius r under the action of a force F. Its speed is:

• A. $\sqrt{\frac{rF}{m}}$
• B. $\sqrt{\frac{F}{r}}$
• C. $\sqrt{Fmr}$
• D. $\sqrt{\frac{F}{mr}}$

Answer 1

The correct option is A

$\sqrt{\frac{rF}{m}}$

Centripetal force under the action of which body moves in circle
$F_{centripetal}=\frac{m{v}^2}{r}F=\frac{m{v}^2}{r}v=\sqrt{\frac{rF}{m}}$