Question

The acceleration due to gravity 'g' for objects on or near the surface of earth is related to the universal gravitational constant 'G' as ( 'M' is the mass of the earth and 'R' is its radius ) __________________.

• A. $G=g\frac{M}{R^2}$
• B. $g=G\frac{M}{R^2}$
• C. $M=\frac{gG}{R^2}$
• D. $R=\frac{gG}{M^2}$

Answer 1

The correct option is B $g=G\frac{M}{R^2}$

Let gravitational force be acting on a mass "m".

then mg = $\frac{GMm}{r^2}$

or g = $\frac{GM}{r^2}$