A spherical body collision head-on with another identical spherical body at rest. If the coefficient of restitution is e, show that the ratio of their velocities after collision is `(1-e):(1+e)`.

If the coefficient of restitution is zero for collision between two bodies then

Two bodies of masses 5 kg and 10 kg move towards each other with velocities 10 m*s^(-1) and 14 m*s^(-1) respectively. If the coefficient of restitution is 0.8, find their velocities after the collision.

A ball of mass m falls from a height h on a stationary horizontal plane and bounces up . If the coefficient of restitution is e, show that, the loss in kinetic energy due of impact is mgh (1-e^2) .

A ball moving at 9m *s^(-1) , collides with an identical ball at rest. After collision, both the balls scatter at 30^@ with the initial direction of motion. Find the velocity of each ball after collision. Does the kinetic energy remain conserved in such a collision ?

A body of mass m moving with velocity vecV collides elastically with another body B of same mass which is at rest. What will be the velocities of A and B after collision?

What is meant by elastic collision ? Show that when two bodies of equal masses moving in one dimension suffer elastic collision, their velocities are exchanged after collision.

Using calculus, show that the maximum value of the function (1/x)^x is e^(1/e) .

Two particles of equal mass moving towards each other with velocities 20 m*s^(-1) and 30 m*s^(-1) collide. If the collision is elastic, find their velocities after the collision.