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Block on a Block Problems

A body is han...

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 $v = (2 g L)$ , the tension in the string increases just after the striking by

A

m g

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B

3 m g

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C

2 m g

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D

None of these

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Solution

The correct option is A $2 m g$
Conserving momentum,
Let velocity after striking be $v$ .
$2 m v = m (2 g L)$
$v = g l$
extra tension will be due to $\frac{2 m v^{2}}{L}$
which is equal to $2 m g$ .

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