Question

How to calculate the value of $g$ at the surface of Mars? $(M=0.642x{10}^{24}kg,R=3396km)$

Answer 1

Step 1: List the known values

Mass of mars $M=0.642x{10}^{24}kg$

Radius of mars $R=3396km$

We know that the value of gravitation constant,

$G=6.67\times {10}^{-11}Nm²/kg²$

Step 2: Calculate the acceleration due to gravity

We know that the acceleration due to gravity can be given as,

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

Upon substituting the values we get,

$g=\frac{6.67\times {10}^{-11}\times 0.642\times {10}^{24}\times {10}^3}{{\left(3396\times {10}^3\right)}^2}$

$=3.714m/s^2$

Hence, the value of $g$ on mars is $3.714m/s^2$.