Kinematics Question 730

Question: A particle of mass $ m $ it’s executing uniform circular motion on a path of radius $ r $ . If $ p $ it’s the magnitude of it’s 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} $

Show Answer

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]



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