A metal ball falls from a height of $32 m$ on a steel plate. If the coefficient of restitution is $0.5$ to what height will the ball rise after second bounce?

2 m

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4 m

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8 m

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16 m

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Solution

The correct option is C $8 m$
$v_{1} = \sqrt{2 g h_{1}}$
$\frac{v_{1}}{v_{2}} = \frac{1}{2} \Rightarrow v_{2} = (\frac{v_{1}}{2}) = 12.6$
$\frac{v^{2}}{2 g} = h = 8 m$

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A metal ball falls from a height of 32m on a steel plate. If the coefficient of restitution is 0.5 to what height will the ball rise after second bounce?

The correct option is C 8mv1=√2gh1v1v2=12⇒v2=(v12)=12.6v22g=h=8m

A metal ball falls from a height of $32 m$ on a steel plate. If the coefficient of restitution is $0.5$ to what height will the ball rise after second bounce?

The correct option is C $8 m$
$v_{1} = \sqrt{2 g h_{1}}$
$\frac{v_{1}}{v_{2}} = \frac{1}{2} \Rightarrow v_{2} = (\frac{v_{1}}{2}) = 12.6$
$\frac{v^{2}}{2 g} = h = 8 m$