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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