Gravity Formula

Gravity also termed as gravitation, is a force that occurs among all material objects in the universe. For any two objects or units having non-zero mass, the force of gravity has a tendency to attract them toward each other. The Universal Law of Gravitation says that:

All mass applies an attractive force on all other mass.

If the distance between two masses m1 and m2 is as shown in the diagram,

The gravity formula is articulated as

$F=\frac{Gm_{1}m_{2}}{r^{2}}$

Where,
G is a constant equal to 6.67 × 10-11 N-m2/kg2,

m1 is the mass of the body 1,
m2 is the mass of body 2,
r is the radius or distance amid the two bodies.

The gravitational force formula is very useful in computing gravity values, larger mass larger, radius, etc.

Gravity Problems Solved Examples

Underneath are given some questions on gravity which helps one to comprehend the use of this formula.

Problem 1: Calculate the force due to gravitation being applied on two objects of mass 2 Kg and 5 Kg divided by the distance 5cm?

Given: Mass m1 = 2 Kg,
Mass m2 = 5 Kg,
Gravitational Constant G = 6.67 ×× 10-11 Nm2/Kg2

$The\;force\;due\;to\;gravity\;are\;given\;by\;formula\;F=\frac{Gm_{1}m_{2}}{r^{2}}$

$=\frac{6.67\times&space;10^{-1}\times&space;2\times&space;5}{5\times&space;10^{-2}}$

$=2.668\times&space;10^{-7}N$

Problem  2: A spaceship is moving round a planet having amass of 2000 Kg. If it is at the distance 8 × 106 m from the planet. Compute the mass of the planet?

$The\;&space;force\;&space;due\;&space;to\;&space;gravity\;&space;is\;&space;given\;&space;by\;&space;F=\frac{m_{1}v^{2}}{2}$

$=\frac{2000\times&space;10^{3}\times&space;(3\times&space;10^{8})^{2}}{8\times10^{6}}$

$2.25\times&space;10^{16}N$

$we\;&space;know\;&space;that\;&space;gravitational\;&space;constant\;&space;is\;&space;6.67\times&space;10^{-11}Nm^{2}/Kg^{2},\;the\;&space;mass\;&space;of\;&space;the\;&space;planet\;&space;is\;&space;given\;&space;by$

$=\frac{2.25\times&space;10^{16}\times&space;(8\times&space;10^{6})}{2000\times&space;10^{3}}$

$9\times&space;10^{16}Kg$

$The\;&space;mass\;&space;of\;&space;the\;&space;planet\;&space;is\;&space;9\times&space;10^{16}Kg$