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 marble ball of mass 50 g , falls from a height of 5 m on a horizontal plane and rebounces to rise up to a height of 3.2 m. if the collision lasts for (1)/(10) s, find the impulsive force imparted by the plane and the impulse of the ball. (g = 10 m cdot s^(-2) )

A wooden ball dropped from a height of 2 m. What is the height upto which the ball will rebound if the coefficient of restitution is 0.5?

A glass ball is dropped from a height of 15 m onto a horizontal glass plate at rest. Find the upward rise of the ball after impect. The coefficient of restitution e=0.8.

A ball is dropped from a height of 1m onto a horizontal plane. The ball takes 1.3 s from its time of release for the second impact with the plane. Find the coefficient of restitution.

A ball is dropped from a height of 90m onto a horizontal plane rest. Find the total distance travelled by it before coming to rest. The coefficient of restitution e=0.5.

A body of mass m is raised to a height h from a point on the surface of the earth of the earth where the acceleration due to gravity is g. Prove that the loss of weight due to variation of g is (2mgh)/R , where R is the radius of the earth.

A force F acts on a stationary body of mass m for a time t. Show that, the kinetic energy of the body iin that time =(F^2t^2)/(2m) .