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Question

A body is hanging from a rigid support by an inextensible string of length l. It is struck inelastically by an identical body of mass m with horizontal velocity v=2gl, the tension in the string increases just after the striking by :

A
mg
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B
3 mg
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C
2 mg
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D
none of these
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Solution

The correct option is D 2 mg
LetvelocityafterthecollisionbeVmv=2mVV=v2=2gl2initiallytheTensionisT1=mgaftercollisionT22mg=2mV2l=2m2gl4l=mgT2=3mgThus,T2T1=2mg

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