The acceleration due to gravity on the moon is one-sixth that on the earth. A high jumper can jump $2 m$ on earth. What distance can he jump on the moon?

2 m

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6 m

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12 m

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18 m

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Solution

The correct option is C $12 m$
Let $W_{o}$ & $W_{n}$ are the weight of a body on the earth and the moon respectively.
$h_{e}$ and $h_{m}$ are the height of the jumper achieved respectively
Energy in both cases will be the same.
So that $w_{e} h_{e} = W_{m} h_{m}$
or $h_{m} = \frac{w_{e} h_{e}}{W_{m}}$
$h_{m} = \frac{w_{e} h_{e}}{w_{e} / 6}$
$\Rightarrow h_{m} = 6 \times h_{0}$
$\Rightarrow h_{m} = 6 \times 2$
$\Rightarrow h_{m} = 12 m$

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The acceleration due to gravity on the moon is one-sixth that on the earth. A high jumper can jump 2m on earth. What distance can he jump on the moon?

The correct option is C 12 mLet Wo & Wn are the weight of a body on the earth and the moon respectively. he and hm are the height of the jumper achieved respectivelyEnergy in both cases will be the same.So that wehe=Wmhm or hm=weheWmhm=wehewe/6⇒hm=6×h0⇒hm=6×2⇒hm=12m

The acceleration due to gravity on the moon is one-sixth that on the earth. A high jumper can jump $2 m$ on earth. What distance can he jump on the moon?