A `70 g` ball B dropped from a height `h_(0) = 9m` reaches a height `h_(2) = 0.25 m` after bouncing twice from identical `210 g` plates. Plate A rests directly on hard ground, while plate C rests on a foam-rubber mat. Determine (i) the coefficient of restituation between the ball and the plates, (ii) the height `h_(1)` of the ball's first bounce.
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Given :
Mass of the ball = 70g
Height at which ball is released = 9m
Height of the ball after rebouncing twice from the ground = 0.25m
Mass of the plates = 210g
To Find :
The coefficient of restitution between the ball and the plates
The height of the ball after first bounce
Solution :
- After first collision of the ball with the plates final velocity of the ball
- For the second collision
The coefficient of restitution between the ball and the plates is 2/3.
- Height attained after first collision
The height of the ball after first bounce is 4m.
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