Answer to Question #110675 in Physics for Jeff

Question

A new planet is discovered who’s mass is the same as that of the earth although it’s radius is three times smaller than earth radius find acceleration of gravity on the surface of the new planet calculate answer to one decimal

Answer 1

$$g'=G\frac{M}{(\frac{R}{3})^2}=9G\frac{M}{R^2}=9g$$

$$g'=9(9.8)=88.2\frac{m}{s^2}$$