Answer to Question #88592 in Mechanics | Relativity for Kapa

Question

The radius of the moon is one-fourth, and its mass is one eighty-first that of the earth. If the
acceleration due to gravity on the surface of the earth is 9.8 m/s2, what is its value on the
moon’s surface.

Answer 1

The acceleration due to gravity

$$g=G\frac{M}{R^2}=G\frac{M_{\bigoplus}/81}{\left(R_{\bigoplus}/4\right)^2}=\frac{16}{81}g_{\bigoplus}$$

$$=\frac{16}{81}\times 9.8=1.9\:\rm{m/s^2}$$