Newton's Law:
Newton's Law of Gravity states that 'Every particle attracts every
other particle with a force that is proportional to the product of their masses and inversely
proportional to the distance between them.
Newton's Law of Gravity Formula:
Gravitational Force:
Mass of Object 1:
Mass of Object 2:
Distance Between the Objects:
where,
G = Universal Gravitational Constant = 6.6726 x 10^{11}Nm^{2}/kg^{2}
m_{1} = Mass of Object 1
m_{2} = Mass of Object 2
r = Distance Between the Objects.
Newton's Law of Gravity Examples:
Case 1: Determine the force of gravitational attraction between the earth 5.98 x 10^{24} kg
and a 70 kg boy who is standing at sea level, a distance of 6.38 x 10^{6} m from earth's center.
m_{1} = 5.98 x 10^{24} kg, m_{1} = 70 kg, r = 6.38 x 10^{6} m,
G = 6.6726 x 10^{11}Nm^{2}/kg^{2}.
Step 1: Substitute the values in the below Gravitational Force formula:
This example will guide you to calculate the Gravitational Force manually.
Case 2: Find the mass of one object if the magnitude of the gravitational force acting on each particle
is 2 x 10^{8}, the one mass is 25 kg and the objects are 1.2 meters apart
F = 2 x 10^{8}, m_{2} = 25 kg, r = 1.2 m, G = 6.6726 x
10^{11}Nm^{2}/kg^{2}.
Step 1: Substitute the values in the below Mass formula:
This example will guide you to calculate the Mass of the object manually.

