A man can jump 1.5 m on earth. calculate the approximate height he might be
able to jump on
a planet whose
density is one quarter of the earth and where radius
is one third that of earth.

Radius of earth = 6400km
Acc. due to gravity=9.8 m/s²
Mass of earth = 6X10^24 kg

18 m

Explanation:

G = Gravitational constant

m = Mass of planet =

= Density of planet

V = Volume of planet assuming it is a sphere =

r = Radius of planet

Acceleration due to gravity on a planet is given by

So,

Density of other planet =

Radius of other planet =

Since the person is jumping up the acceleration due to gravity will be negative.

From kinematic equations we have

On the other planet

The man can jump a height of 18 m on the other planet.

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