Universal Law of Gravitation Calculator

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Variation of Acceleration due to Gravity

✖Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 1 [m₁]			+10% -10%
✖Mass 2 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.ⓘ Mass 2 [m₂]			+10% -10%
✖Distance between centers is defined as the distance between the centers of attracting body and the body being drawn.ⓘ Distance between Centers [r_c]			+10% -10%

✖Gravitational Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.ⓘ Universal Law of Gravitation [F']

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Formula

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Universal Law of Gravitation

Formula

`"F'" = ("[G.]"*"m"_{"1"}*"m"_{"2"})/"r"_{"c"}^2`

Example

`"2E^20N"=("[G.]"*"7.34E^22kg"*"5.97E^24kg")/("3.84E^8m")^2`

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Universal Law of Gravitation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2
F' = ([G.]*m₁*m₂)/r_c^2
This formula uses 1 Constants, 4 Variables

Constants Used

[G.] - Gravitational constant Value Taken As 6.67408E-11

Variables Used

Gravitational Force - (Measured in Newton) - Gravitational Force on Fluid Element is the sum of pressure and shear forces acting on it within a fluid system.
Mass 1 - (Measured in Kilogram) - Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Mass 2 - (Measured in Kilogram) - Mass 2 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.
Distance between Centers - (Measured in Meter) - Distance between centers is defined as the distance between the centers of attracting body and the body being drawn.

STEP 1: Convert Input(s) to Base Unit

Mass 1: 7.34E+22 Kilogram --> 7.34E+22 Kilogram No Conversion Required
Mass 2: 5.97E+24 Kilogram --> 5.97E+24 Kilogram No Conversion Required
Distance between Centers: 384000000 Meter --> 384000000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F' = ([G.]*m₁*m₂)/r_c^2 --> ([G.]*7.34E+22*5.97E+24)/384000000^2

Evaluating ... ...

F' = 1.98334995377604E+20

STEP 3: Convert Result to Output's Unit

1.98334995377604E+20 Newton --> No Conversion Required

FINAL ANSWER

1.98334995377604E+20 ≈ 2E+20 Newton <-- Gravitational Force

(Calculation completed in 00.020 seconds)

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< 5 Gravitation Calculators

Time Period of Satellite

Go Time period of Satellite = ((2*pi)/[Earth-R])*sqrt((([Earth-R]+Altitude)^3)/Acceleration due to Gravity)

Gravitational Field Intensity due to Point Mass

Go Gravitational Field Intensity = ([G.]*Mass 3*Test Mass)/Distance between Two Bodies

Gravitational Potential Energy

Go Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers

Universal Law of Gravitation

Go Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2

Gravitational Field Intensity

Go Gravitational Field Intensity = Force/Mass

Universal Law of Gravitation Formula

Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2
F' = ([G.]*m₁*m₂)/r_c^2

What is Universal Law of Gravitation ?

Universal Law of Gravitation states that each particle attracts every other particle. The gravitational force between two bodies forms an action and reaction pair. Gravitation force between two bodies is independent of the nature of the medium. The formula is F =( G* m₁* m₂) / r^2
Where F is the force of attraction , G is the universal gravitational constant whose value is 6.67 * 10^-11 , m₁ & m₂ are the masses of the body and r is the distance between the bodies.

How to Calculate Universal Law of Gravitation?

Universal Law of Gravitation calculator uses Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2 to calculate the Gravitational Force, Universal Law of Gravitation says that every particle attracts every other particle. The force of attraction between them is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Gravitational Force is denoted by F' symbol.

How to calculate Universal Law of Gravitation using this online calculator? To use this online calculator for Universal Law of Gravitation, enter Mass 1 (m₁), Mass 2 (m₂) & Distance between Centers (r_c) and hit the calculate button. Here is how the Universal Law of Gravitation calculation can be explained with given input values -> 2E+20 = ([G.]*7.34E+22*5.97E+24)/384000000^2.

FAQ

What is Universal Law of Gravitation?

Universal Law of Gravitation says that every particle attracts every other particle. The force of attraction between them is directly proportional to the product of their masses and inversely proportional to the square of the distance between them and is represented as F' = ([G.]*m₁*m₂)/r_c^2 or Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2. Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it, Mass 2 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it & Distance between centers is defined as the distance between the centers of attracting body and the body being drawn.

How to calculate Universal Law of Gravitation?

Universal Law of Gravitation says that every particle attracts every other particle. The force of attraction between them is directly proportional to the product of their masses and inversely proportional to the square of the distance between them is calculated using Gravitational Force = ([G.]*Mass 1*Mass 2)/Distance between Centers^2. To calculate Universal Law of Gravitation, you need Mass 1 (m₁), Mass 2 (m₂) & Distance between Centers (r_c). With our tool, you need to enter the respective value for Mass 1, Mass 2 & Distance between Centers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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