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Work Energy Theorem Application

If the energy...

Question

If the energy of a ball falling from a height of 10 meters is reduced by 40% how high will it rebound?

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Solution

Given,

Initial height of ball, $h = 10 m$

Potential energy $= m g h$

Reduce potential energy = $m g h_{n e w}$

$m g h_{n e w} = (\frac{100 - 40}{100}) m g h$

$h_{n e w} = 0.6 \times 10 = 6 m$

Hence, height after rebound is $6 m$

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