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]