Question

Pls Help

The acceleration of gravity on the
Moon is 1.62 m/s2. The mass of the
Moon is 7.35 x 1022 kg. From this
information, what is the radius of the
Moon?
[?] x 10 ^[?] m

Coefficient (green)
Exponent (yellow)
​

Answer 1

Use the formula

g = GM/R^2

where

g = acceleration of gravity on moon

G = universal gravitational constant

= 6.67 x 10^-11 m^3/kg-s^2

M = mass of the moon

R = radius of the moon

solving for R, we get

R = 1.74 x 10^6 kg