Laws Of Motion Question 341
Question: A particle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down is
Options:
A) $ \sqrt{gR} $
B) $ \sqrt{2gR} $
C) $ \sqrt{3gR} $
D) $ \sqrt{5gR} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] The velocity should be such that the centripetal acceleration is equal to the acceleration due to gravity $ \frac{v^{2}}{R}=g $ Or $ v=\sqrt{gR}. $
