A sphere is suspended by a thread of lengt

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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

A

$gl$

B

$2gl$

C

$\sqrt {gl} $

D

$\sqrt {2gl} $

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

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

$⇒$ $\frac{1}{2}m{v^2} = mgl$

$v = \sqrt {2gl} $