Question

The acceleration due to gravity on the surface of the earthj is $10m{s}^{-2}$ . The mass of the planet Mars as compared to earth is 1/10 and radius is 1/2. Determine the gravitational acceleration of a body on the surface of mars.

Answer 1

We have,

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

for mass;

$\begin{array}{c}{g}^{\prime }=\frac{G\left(\frac{M}{10}\right)}{{\left(\frac{R}{2}\right)}^2}\\ =\frac{GM\times 4}{10R^2}\\ =\frac{2}{5}g\\ =4m/s^2\\ \therefore g^{\prime }=4m/s^2\end{array}$