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Q.

A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed ν . There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the particle on the wedge is given by :

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a

2ν27g

b

ν22g

c

2ν25g

d

ν2g

answer is A.

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Detailed Solution

By applying linear momentum conservation,

mv=(m+M)vc ⇒vc=v5

solution

Applying the work energy theorem,

-mgh=12(m+M)vc2-12mv2 ⇒h=2v25g

Hence the correct answer is 2v25g.

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