Physics Two Dimensional Motion Question 280

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

[MP PET 1994]

Options:

A) $ pmr $ B) $ \frac{rm}{p} $ C) $ \frac{mp^{2}}{r} $ D) $ \frac{p^{2}}{rm} $

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Answer:

Correct Answer: D

Solution:

Radial force $ =\frac{mv^{2}}{r}=\frac{m}{r}{{( \frac{p}{m} )}^{2}}=\frac{p^{2}}{mr} $ [As p = mv]