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A bullet of mass ‘m’ is fired with a velocity ‘v’ into a block of wood of mass ‘M’ suspended by a thread. If the bullet gets embedded in the block it rises to a height of

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a

12gmvM+m2

b

mvMg

c

v22g

d

mM+mv22g

answer is A.

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Detailed Solution

Conserving the linear momentum just before and after the strike mv=m+MVC⇒VC=mvm+MNow, again from conservation of energy 12m+MVC2=m+Mgh⇒mVM+m2=2gh⇒h=12gmVm+M2

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