A rubber ball drops from a height h. If the ball rises to h / 2 after rebounding three times coefficient of restitution e, is

\frac{1}{2}

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(\frac{1}{2})^{\frac{1}{2}}

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(\frac{1}{2})^{\frac{1}{4}}

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(\frac{1}{2})^{\frac{1}{6}}

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Solution

The correct option is C $(\frac{1}{2})^{\frac{1}{6}}$
$\sqrt{\frac{h_{n + 1}}{h_{n}}} = e^{2}$

$h_{3} = e^{6} h$

$\frac{h}{2} = e^{6} h$

$e = (\frac{1}{2})^{1 / 6}$

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A rubber ball drops from a height h. If the ball rises to h / 2 after rebounding three times coefficient of restitution e, is

The correct option is C (12)16√hn+1hn=e2h3=e6hh2=e6he=(12)1/6

The correct option is C $(\frac{1}{2})^{\frac{1}{6}}$
$\sqrt{\frac{h_{n + 1}}{h_{n}}} = e^{2}$

$h_{3} = e^{6} h$

$\frac{h}{2} = e^{6} h$

$e = (\frac{1}{2})^{1 / 6}$