A ball of mass m moving with a 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 the value of x

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A ball of mass m moving with a 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 the value of x is

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Correct answer: 8

Because the collision is perfectly inelastic, the two blocks stick together. By conservation of linear momentum, 2 m V = m v or V = v 2 By conservation of energy, 2 m g h = 1 2 × 2 m V 2 or h = v 2 8 · g ⇒ x = 8

A ball of mass m moving with a 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 the value of x is

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