Question
Explain why one can jump higher on a planet whose density is same as that of the earth, but radius is half of the radius of the earth, than on the earth?
Solution
The height to which a person can jump depend upon the acceleration due to gravity is,
i.e.,
The acceleration due to gravity on the surface of planet is given by,
The radius of the planet is half the radius of the earth, therefore acceleration due to gravity on the surface of the planet is half the value on the earth.
Hence, one can jump on the planet to a height twice that on the earth.
i.e.,
The acceleration due to gravity on the surface of planet is given by,
The radius of the planet is half the radius of the earth, therefore acceleration due to gravity on the surface of the planet is half the value on the earth.
Hence, one can jump on the planet to a height twice that on the earth.
