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If the weight of a person on planet A is half of that on the earth. If the person can jump $0.4 m$ on earth. Find how high he can jump on planet A.

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0.4 m

0.8 m

0.6 m

1 m

answer is B.

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Detailed Solution

0.8 m

high he can jump on planet A.
Let acceleration due to gravity of the earth and the planet A as

g_{1}

and

g_{2}

.
Given

g_{2} = \frac{1}{2} g_{1}

According to the law of conservation of energy, the potential energy of the person on planet A is equal to the potential energy of the person on the earth.
⇒

m g_{1} h_{1} = m g_{2} h_{2}

⇒

h_{2} = \frac{g_{1} h_{1}}{g_{2}}

= \frac{2 g_{2} h_{1}}{g_{2}}

2 h_{1} = 2 \times 0.4 m

= 0.8 m

Therefore, the person can jump

0.8 m

high on planet A.

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