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Gravity Calculator
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Gravity Formula -

Gravitation Force (F) = $\frac{G m_{1}m_{2}}{r^2}$

Where, 'G' is Universal Gravitational Constant (G) = 6.6726 * 10^{-11} N-m^2/kg^2, '$m_{1}$' is Mass of first object (in Kgs), '$m_{2}$' is Mass of second object (in Kgs), 'r' is Distance Between the Objects (in meters).

Gravity Calculator calculates the value of unknown parameter in the Gravity Formula using other known parameters.

## Step by Step Calculation

Step 1 :

Newton's Law of Gravity Formula:

Gravitational Force: F = Gm1m2/r2
Mass of Object 1: m1 = Fr2/Gm2
Mass of Object 2: m2 = Fr2/Gm1
Distance between the Objects: r = Square root of(Gm1m2/F)
Where,
G = Universal Gravitational Constant = 6.6726×10-11 N-m2/kg2
m1 = Mass of the Object 1
m2 = Mass of Object 2
r = Distance Between the Objects.

Step 2 :

State the equation you plan to use and plug in the values.

## Example Problems

1. ### Calculate the force of gravitational attraction between the earth 6.87 × 1029 kg and a 80 kg boy who is standing at sea level, a distance of 7.27 × 108 m from earth's center?

Step 1 :

Given that:
m1 = 6.87×1029 kg,
m2 = 70 kg,
r = 7.27×108 m,
Gravitational Force(F) = ?

Step 2 :

Substitue the given values in the formula:
Gravitational Force: F = Gm1m2/r2
F = (6.6726×10-11 × 6.87×1029 × 70) / (7.27×108 )2
F = 3208.85×10-11+29 / (5.28529×1017)
F = 3208.85×1018 / (5.28529×1017)
F = 6071.291 N

F = 6071.291 N

2. ### Calculate the mass of one object if the magnitude of the gravitational force acting on each particle is 3×10-9, the one mass is 36 kg and the objects are 2.4 meters apart?

Step 1 :

Given that:
F = 3×10-9,
m2 = 36 kg,
r = 2.4m,
mass of one object(m1) = ?

Step 2 :

Substitue the given values in the formula:
m1 = Fr2/Gm2
m1 = (3×10-9×(2.4)2)/(6.6726×10-11×36)

m1 = 7.194 kg