Question

Show that acceleration due to gravity experienced by an object is independent of its mass.

Answer 1

$\textbf{ \blue{ Hello Mate! }}$

$F = \frac{GMm}{R^2} \\ \\ Also, F = ma\:( Newton's\:2nd\:law )$

Keeping both equations together we get,

$ma = \frac{GMm}{R^2} \\ g = \frac{GM}{R^2}$

Thus, g is independent of object mass (m).

$\textbf{ Explaination }$ = 1. G is graviational constant.

2. M refers to mass of earth while "m" is mass of object.

3. "a" accleration is replaced with "g" i.e., acceleration due to gravity.

$\boxed{ \textsf{ \red{ Hence\:proved }}}$

Have great future ahead!