Physic Question- acceleration

Question

The radius of a planet is 4.60 x 10⁶ m. The mass of the planet is 9.43 x 10²³ kg. Find the acceleration due to gravity on the surface of the planet.

Answer 1

F = ma, a = F/m, F_g = GMm/r² so divide by m to get acceleration and get a = GM/r² and plug in. G is the 6.67x10^-11 constant so a = (6.67x10^-11)*(9.43x10²³) / ((4.6x10⁶)²) so just type that in your calculator. Notice how the mass of the object drops out which is why gravity accelerates things at the same rate on a planet.