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
`sqrt( gl)`
B
`gl`
C
`2 gl`
D
`sqrt(2 gl)`
Text Solution
Verified by Experts
The correct Answer is:
D
Let v be the horizontal velocity given to the sphere at A . At A, Its K.E` =(1)/(2) mv^(2) and P.E =0` when it reaches , the height of suspension ,it is at B , where `therefore ` by the prienciple of conservation of energy `(1)/(2)mv^(2) = mg h = mg L` `therefore v^(2) = 2 gh or v= sqrt(2gL)`
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