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Q.

The acceleration due to gravity on a planet is $1.96 m s^{- 2}$ . If it is safe to jump from a height of 3 m on the earth, the corresponding height on the planet will be...(g on earth is 9.8 $m s^{- 2}$ )

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answer is 15.

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Detailed Solution

A person is safe, if his velocity while reachingc the surface of moon from a height h’ is equal
to its velocity while falling from height h on earth.

So, $\sqrt{2 g^{'} h^{'}} = \sqrt{2 g h}$

$h^{'} = \frac{gh}{g^{'}} = 9.8 \times \frac{3}{1.96} = 15 m$

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The acceleration due to gravity on a planet is 1.96 ms–2. If it is safe to jump from a height of 3 m on the earth, the corresponding height on the planet will be...(g on earth is 9.8 ms-2)