Question

Calculate the acceleration due to gravity on the surface of a planet whose mass and radius are double than the mass and radius of the earth.

Answer 1

Given that,

Mass of the earth =$M$

Radius of the earth = $R$

We know that,

$g=\frac{GM}{R^2}$

Now, mass and radius is double

$g^{\prime }=\frac{G2M}{4R^2}$

$g^{\prime }=\frac{GM}{2R^2}$

$g^{\prime }=\frac{1}{2}g$

Hence, the acceleration due to gravity on the surface of a planet is $\frac{1}{2}g$