A wedge of mass M = 4 m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v . There is no friction between the particle and the plane or between the particle and the w

Question

A wedge of mass M = 4 m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v . 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:

TestHub · Accepted Answer

From conservation of linear momentum, m v = 4 m + m v f v f = v 5 From conservation of mechanical energy, 1 2 m v 2 = 1 2 4 m + m v f 2 + m g h v 2 = 5 v f 2 + 2 g h v 2 = 5 × v 5 2 + 2 g h h = 2 v 2 5 g

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