A ball of radius `r` hits a cushion with a pure rolling motion and rebounds, with a pure rolling motion. Find the ratio of the height `h` of the cushion to the radius `r` of the ball. Assume that the foce exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.

A ball of radius r is made to oscillate in a bowl of radius R, find its time period of oscillation.

Where must the cue hit a billiard ball so that it rolls without sliding form the start if R is the radius of the ball?

A ball weighing 50g hits a hard surface normally with a speed of 25m/s and rebounds with the same speed. The ball remains in contact with the surface for 0.05s .The average force exerted by the surface on the ball is?

A ball is thrown from a point in level with velocity u and at a horizontal distance r from the top os a tower of height h . At what horizontal distance x from the foot of the tower does the ball hit the ground ?

A ball of radius R is uniformly charged with the volume density rho . Find the flux if the electric field strength vector across the balls section formed by the plane located at a distance r_(0) lt R from the centre of the ball.

A batsman hits a cricket ball which then rolls on a level ground. After covering a short distance, the ball comes to rest. The ball slows to a stop because (a) the batsman did not hit the ball hard enough, (b) velocity is proportional to the force exerted on the ball, (c ) there is a force on the ball opposing the motion ,(d) there is no unbalanced forcr on the ball, so the ball would want to come to rest.

A spherical rigid ball is realeased from rest and starts rolling down an inclined plane from height h=7m, as shown in the figure. It hits a block at rest on the horizontal plane (assme elastic collision). If the mass of both the ball and the block is m and the ball is rolling without sliding, then the speed of the block after collision is close to

A small ball of mass m and radius r=(R)/(10) rolls without slipping along the track shown in the figure. The radius of circular part of the ball starts from rest at a higher of 8R above the bottom, the normal force on the ball at the point P is