A ball of mass m moving with velocity v strikes the bob of a pendulum at rest. The mass of the bob is also m . If the collision is perfectly inelastic, the height to which the bob will rise is given by h = v 2 x .g , then x = ?

Question

A ball of mass m moving with velocity v strikes the bob of a pendulum at rest. The mass of the bob is also m . If the collision is perfectly inelastic, the height to which the bob will rise is given by h = v 2 x .g , then x = ?,

MARKS App · Accepted Answer

Because the collision is perfectly inelastic, hence the two blocks stick together. By conservation of linear momentum, 2 mV = mv or V = v 2 By conservation of energy, 2 mgh = 1 2 2m V 2 2 or h = v 2 / 8 g x = 8

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