First slide

Types of collision

Question

A ball of mass 2 kg dropped from a height H above a horizontal surface rebounds to a height h after one bounce. The graph that relates H to h is shown in figure. If the ball was dropped from an initial height of 81 m and made ten bounces, the kinetic energy of the ball immediately after the second impact with the surface was

Moderate

A

320 J
B

480 J
C

640 J
D

Can’t be determined

Solution

$\large e\, = \,\sqrt {\frac{h}{H}\,\,} = \sqrt {\frac{{40}}{{90}}} \, = \,\frac{2}{3}$
$\large V = u{e^n}\;Here\;n = 2$
$\large = \,\frac{1}{2}(2)(2 \times 10 \times 81)\frac{{16}}{{81}} = 320J$

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