The weight of a person on a planet A is about half that on the earth. He can jump upto $0.4\ m$ height on the surface of the earth. How high he can jump on the planet A?

As given, the weight of the person on a planet is half that on the earth.

So, $W_A=\frac{1}{2}W_E$

Or $mg_A=\frac{1}{2}mg_E$

Or $g_A=\frac{1}{2}g_E$
 

Height jumped on earth $h_E=0.4\ m$

Let $h_A$ be the height jumped on planet A.

According to the law of conservation of energy, $mg_Ah_A=mg_Eh_E$

Or $\frac{1}{2}g_E\times h_A=g_E\times 0.4$

Or $h_A=2\times0.4=0.8\ m$

Therefore, the man can jump $0.8\ m$ high on planet A.

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Updated on: 10-Oct-2022

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