Question

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle is

• A. $pmr$
• B. $\frac{rm}{p}$
• C. $\frac{m{p}^2}{r}$
• D. $\frac{p^2}{rm}$

Answer 1

The correct option is D

$\frac{p^2}{rm}$

Radial force $=\frac{m{v}^2}{r}=\frac{m}{r}{\left(\frac{p}{m}\right)}^2=\frac{p^2}{mr}[Asp=mv]$