A man can jump 1.5 m high on the earth. Calculate the approximate height he might be able to jump on a planet whose density is one-quarter of the earth and the radius is one-third of the earth’s radius.

Let the radius and density of the earth be R and ρ respectively. 

Acceleration due to gravity on surface of the earth is,

Acceleration due to gravity on the planet,

Let h' be the up to that man can jump on the planet, so

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