Question

Question #b9da1

Answer 1

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.