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

Aicharya · Accepted Answer

Because the collision is perfectly inelastic, hence the two blocks stick together. By conservation of linear momentum,

2 mV = mv

or

V = \frac{v}{2}

By conservation of energy,

2 mgh = \frac{1}{2} 2m {(\frac{V}{2})}^{2}

or

h = v^{2} / 8 g

x = 8

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…

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