Question #b9da1

1 Answer
May 18, 2016

Answer:

Magnitude of gravity #g# depends on
1. Gravitational constant
2. Mass of earth
3. Radius of earth.

Explanation:

The word gravity #g# is is used to denote the acceleration due to gravitational force of attraction of earth.

As per Law of Universal Gravitation the force of attraction between earth of mass #M_e#, Radius #R_e# and an object of mass #m# placed at the surface of earth is given by the following expression
#F =G (M_e.m)/R_e^2#

Where #G# is Universal gravitational constant and has a value #6.67408 xx 10^-11 m^3 kg^-1 s^-2#.

Comparing above equation with The equation between force, mass and acceleration given by Newton's Second Law of Motion, considering the scalar part of vectors

#|vecF|=mcdot |veca|#, we obtain
#g=G (M_e)/R_e^2#
We see that magnitude of gravity #g# depends on
1. Gravitational constant
2. Mass of earth
3. Radius of earth.