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Gravitational Potential Energy Formula

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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. Check FAQs

U = - \frac{[G.] \cdot m 1 \cdot m 2}{r c}

U - Gravitational Potential Energy?m₁ - Mass 1?m₂ - Mass 2?r_c - Distance between Centers?[G.] - Gravitational constant?

Gravitational Potential Energy Example

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Here is how the Gravitational Potential Energy equation looks like with Values.

Here is how the Gravitational Potential Energy equation looks like with Units.

Here is how the Gravitational Potential Energy equation looks like.

-7.6E+31 = - \frac{6.7E-11 \cdot 7.3E+22 \cdot 6E+24}{384000}

-7.6E+31J = - \frac{6.7E-11 \cdot 7.3E+22kg \cdot 6E+24kg}{384000m}

-7.6E+31 = - \frac{6.7E-11 \cdot 7.3E+22 \cdot 6E+24}{384000}

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Gravitational Potential Energy Solution

Follow our step by step solution on how to calculate Gravitational Potential Energy?

FIRST Step Consider the formula

U = - \frac{[G.] \cdot m 1 \cdot m 2}{r c}

Next Step Substitute values of Variables

∴

U = - \frac{[G.] \cdot 7.3E+22kg \cdot 6E+24kg}{384000m}

Next Step Substitute values of Constants

∴

U = - \frac{6.7E-11 \cdot 7.3E+22kg \cdot 6E+24kg}{384000m}

Next Step Prepare to Evaluate

∴

U = - \frac{6.7E-11 \cdot 7.3E+22 \cdot 6E+24}{384000}

Next Step Evaluate

∴

U = -7.6160638225E+31J

LAST Step Rounding Answer

∴

U = -7.6E+31J

Gravitational Potential Energy Formula Elements

Variables

Constants

Gravitational Potential Energy

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.

Symbol: U

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Gravitational Potential Energy

Mass 1

Mass 1 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₁

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass 1

Mass 2

Mass 2 is the quantity of matter in a body 1 regardless of its volume or of any forces acting on it.

Symbol: m₂

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass 2

Distance between Centers

Distance between Centers is defined as the distance between the centers of attracting body and the body being drawn.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance between Centers

Gravitational constant

Gravitational constant is a fundamental constant in physics that appears in Newton's law of universal gravitation and Einstein's theory of general relativity.

Symbol: [G.]

Value: 6.67408E-11

Other formulas in Gravitational Potential category

Go Gravitational Potential

V = - \frac{[G.] \cdot m}{s body}

Go Gravitational Potential of Ring

V ring = - \frac{[G.] \cdot m}{\sqrt{{r ring}^{2} + a^{2}}}

Go Gravitational Potential of Thin Circular Disc

U Disc = - \frac{2 \cdot [G.] \cdot m \cdot (\sqrt{a^{2} + R^{2}} - a)}{R^{2}}

Go Gravitational Potential when Point is Inside of Non Conducting Solid Sphere

V = - \frac{[G.] \cdot m \cdot (3 \cdot {r c}^{2} - a^{2})}{2 \cdot R^{3}}

How to Evaluate Gravitational Potential Energy?

Gravitational Potential Energy evaluator uses Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers to evaluate the Gravitational Potential Energy, Gravitational Potential Energy formula is defined as the energy an object possesses due to its position within a gravitational field, which is dependent on the mass of the object and the gravitational field it is in, and is a fundamental concept in understanding the behavior of objects in the universe. Gravitational Potential Energy is denoted by U symbol.

How to evaluate Gravitational Potential Energy using this online evaluator? To use this online evaluator for Gravitational Potential Energy, enter Mass 1 (m₁), Mass 2 (m₂) & Distance between Centers (r_c) and hit the calculate button.

FAQs on Gravitational Potential Energy

What is the formula to find Gravitational Potential Energy?

The formula of Gravitational Potential Energy is expressed as Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers. Here is an example- -7.6E+31 = -([G.]*7.34E+22*5.97E+24)/384000.

How to calculate Gravitational Potential Energy?

With Mass 1 (m₁), Mass 2 (m₂) & Distance between Centers (r_c) we can find Gravitational Potential Energy using the formula - Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers. This formula also uses Gravitational constant .

Can the Gravitational Potential Energy be negative?

Yes, the Gravitational Potential Energy, measured in Energy can be negative.

Which unit is used to measure Gravitational Potential Energy?

Gravitational Potential Energy is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Gravitational Potential Energy can be measured.

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Gravitational Potential Energy Formula

Gravitational Potential Energy Example

Gravitational Potential Energy Solution

Gravitational Potential Energy Formula Elements

Other formulas in Gravitational Potential category

How to Evaluate Gravitational Potential Energy?

FAQs on Gravitational Potential Energy

Variable Name