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

Question

Aicharya · Accepted Answer

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

2 m V = mv

or

V = \frac{v}{2}

By conservation of energy,

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

or

h = v^{2} / 8 g

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…

Solution