Gravitational Potential Energy 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 Potential Energy of two mass system is equal to the work done by an external agent in assembling them, while their initial separation was infinity.ⓘ Gravitational Potential Energy [U]

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Formula

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Gravitational Potential Energy

Formula

`"U" = -("[G.]"*"m"_{"1"}*"m"_{"2"})/"r"_{"c"}`

Example

`"-7.6E^28J"=-("[G.]"*"7.34E^22kg"*"5.97E^24kg")/"3.84E^8m"`

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Gravitational Potential Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers
U = -([G.]*m₁*m₂)/r_c
This formula uses 1 Constants, 4 Variables

Constants Used

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

Variables Used

Gravitational Potential Energy - (Measured in Joule) - Gravitational Potential Energy of two mass system is equal to the work done by an external agent in assembling them, while their initial separation was infinity.
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

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

Evaluating ... ...

U = -7.6160638225E+28

STEP 3: Convert Result to Output's Unit

-7.6160638225E+28 Joule --> No Conversion Required

FINAL ANSWER

-7.6160638225E+28 ≈ -7.6E+28 Joule <-- Gravitational Potential Energy

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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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

Gravitational Potential Energy Formula

Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers
U = -([G.]*m₁*m₂)/r_c

How is Gravitational potential energy calculated ?

Consider a body of mass m placed at a distance r from another body of mass M. The gravitational force of attraction between them is given by F= (G*M*m) / r^2. So by evaluating the formula we get U = - (G*M*m)/r.

How to Calculate Gravitational Potential Energy?

Gravitational Potential Energy calculator uses Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers to calculate the Gravitational Potential Energy, Gravitational Potential Energy of two masses is equal to the work done by an external agent in assembling them, while their initial separation was infinity. Gravitational Potential Energy is denoted by U symbol.

How to calculate Gravitational Potential Energy using this online calculator? To use this online calculator for Gravitational Potential Energy, enter Mass 1 (m₁), Mass 2 (m₂) & Distance between Centers (r_c) and hit the calculate button. Here is how the Gravitational Potential Energy calculation can be explained with given input values -> -7.6E+28 = -([G.]*7.34E+22*5.97E+24)/384000000.

FAQ

What is Gravitational Potential Energy?

Gravitational Potential Energy of two masses is equal to the work done by an external agent in assembling them, while their initial separation was infinity and is represented as U = -([G.]*m₁*m₂)/r_c or Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers. 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 Gravitational Potential Energy?

Gravitational Potential Energy of two masses is equal to the work done by an external agent in assembling them, while their initial separation was infinity is calculated using Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers. To calculate Gravitational Potential Energy, 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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