Question

What do you understand by the gravitational force of earth and weight?

Answer 1

Gravitational force:

1. The gravitational force on earth is equal to the force you exert on the earth.
2. At rest, on or near the earth's surface, gravitational force equals weight.
3. The acceleration of gravity on a different astronomical body, such as venus or the Moon, is different than on earth, so if you stood on a scale, it would show you that you weigh a different amount than on earth.

Mathematically, gravitational force can be represented as:

$\mathrm{F}\propto \frac{\left({\mathrm{m}}_1{\mathrm{m}}_2\right)}{{\mathrm{r}}^2}$

Here,

$\mathrm{F}$ is the gravitational force between two bodies.

${\mathrm{m}}_1$ is the mass of the first body.

${\mathrm{m}}_2$ is the mass of the second body.

$\mathrm{r}$ is the distance between the centers of two bodies.

Weight:

1. The weight of the body is the force with which the earth attracts it towards the center.
2. It is commonly used as a measure of mass in a region of constant gravitational acceleration.
3. Any object on or near the earth will be affected by gravitational forces. When one shoots a basketball, for example, gravity acts to pull the ball back to the floor.

Mathematically, the weight formula is given as:

$W=mg$

Here,

$m$is the mass of the body.

$g$ is the gravitational acceleration.