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A sphere of mass m is moving with a velocity u and makes a head on collision with another identical mass which is at rest. It is observed that the stationary mass starts moving with a lesser velocity than u, after the collision.1. Which physical quantity is conserved here?2. Define coefficient of restitution.3. Determine the ratio of the velocities of the two spheres after elastic collision if ‘e’ is the coefficient of restitution. |
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Answer» 1. conservation of linear momentum. 2. It is defined as the ratio of relative velocity of separation after collision to the relative velocity of approach before collision. 3. Coefficient of restitution, e = \(\frac{v_2}{u_1} - \frac{v_1}{u_2}\) in this cos u1 = u, u2 = 0, v1 = 0, v2 = u ∴ e =\(\frac{u - 0}{u - 0}\) e = 1. |
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