Question

The radius of moon is 27% of the earth radius and it's mass is 1.2% of the earth mass .Find the acceleration due to gravity on the surface of the moon

Answer 1

1.53 will be the acceleration due to gravity

Answer 2

Hello friend,

◆ Answer-

g' = 1.613 m/s^2

◆ Explaination-

Let M & M' be mass of earth & moon. Also R & R' be their radius respectively.

Given is -

M' = 1.2% M = 0.012 M

R' = 27% R = 0.27 R

Gravitational accelaration on earth surface is -

g = GM / R^2

Gravitational accelaration on supposed planet is -

g' = GM' / R'^2

g' = G(0.012M) / (0.27R)^2

g' = (0.012/0.27^2) GM/R^2

g' = 0.1646 g

g' = 0.1646 × 9.8

g' = 1.613 m/s^2

Therefore, acceleration due ti gravity on moon surface is 1.613 m/s^2.

Hope this helps...