Question

A smooth ball of mass m strikes a horizontal surface with a velocity v in a
direction making an angle 30° with the normal to the surface as shown in the
figure. If the coefficient of restitution for the collision between the ball and
the surface is e and the ball was in contact with the surface for a small time
'At', the average force acting on the ball during collision is​

Answer 1

Answer:

Force = rate of change of momentum

Intial velocity components= √3 v÷2 i + v÷2 j

After collision the components becomes= √3 e v ÷2 i + v÷2 j

Change in velocity = √3v(e-1)÷2 i

Change in momentum = m×√3v(e-1)÷ 2

As time t is small, let it be t ,rate of change of momentum = m×√3v(e-1)÷2t