Question

If the mass of a planet is 6.00 1024 kg, and its radius is 3.90 106 m, what is the magnitude of the gravitational field, g, on the planet's surface

Answer 1

Hi there!

We can use the following equation to solve for gravitational acceleration for a uniform mass:
$g = \frac{Gm}{r^2}$

g = acceleration due to gravity (m/s²)

G = Gravitational Constant

m = mass of PLANET (kg)

r = radius (m)

Plug in the given values:
$g = \frac{(6.67*10^{-11})(6 * 10^{24})}{(3.9*10^6)^2} = \boxed{26.31 \frac{m}{s^2}}$