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=mgaftercollisionT2−2mg=2mV2l=2m2gl4l=mg⇒T2=3mgThus,T2−T1=2mg