Physics Two Dimensional Motion Question 80

Question: A sphere is suspended by a thread of length $ l $ . What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension

[ISM Dhanbad 1994]

Options:

A) $ gl $ B)$ 2gl $ C) $ \sqrt{gl} $ D) $ \sqrt{2gl} $

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Answer:

Correct Answer: D

Solution:

Kinetic energy given to a sphere at lowest point = potential energy at the height of suspension

Therefore $ \frac{1}{2}mv^{2}=mgl $ $ v=\sqrt{2gl} $