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Gravitational Potential Formula

GoGravitational Potential when Point is Inside of Non Conducting Solid Sphere Formula

GoGravitational Potential when Point is Outside of Non Conducting Solid Sphere Formula

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Gravitational Potential is defined as the amount of work done by external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy. Check FAQs

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

V - Gravitational Potential?m - Mass?s_body - Displacement of Body?[G.] - Gravitational constant?

Gravitational Potential Example

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With units

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

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

Here is how the Gravitational Potential equation looks like.

-2.9E-9 = - \frac{6.7E-11 \cdot 33}{0.75}

-2.9E-9J/kg = - \frac{6.7E-11 \cdot 33kg}{0.75m}

-2.9E-9 = - \frac{6.7E-11 \cdot 33}{0.75}

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Gravitational Potential Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = - \frac{[G.] \cdot 33kg}{0.75m}

Next Step Substitute values of Constants

∴

V = - \frac{6.7E-11 \cdot 33kg}{0.75m}

Next Step Prepare to Evaluate

∴

V = - \frac{6.7E-11 \cdot 33}{0.75}

Next Step Evaluate

∴

V = -2.9365952E-09J/kg

LAST Step Rounding Answer

∴

V = -2.9E-9J/kg

Gravitational Potential Formula Elements

Variables

Constants

Gravitational Potential

Gravitational Potential is defined as the amount of work done by external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy.

Symbol: V

Measurement: Gravitational PotentialUnit: J/kg

Note: Value can be positive or negative.

Formulas to find Gravitational Potential

Mass

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

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Displacement of Body

Displacement of Body is defined to be the change in position of an object.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

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 to find Gravitational Potential

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}}

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

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

Go Gravitational Potential when Point is Inside of Conducting Solid Sphere

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

Go Gravitational Potential when Point is Outside of Conducting Solid Sphere

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

Other formulas in Gravitational Potential category

Go Gravitational Potential Energy

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

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}}

How to Evaluate Gravitational Potential?

Gravitational Potential evaluator uses Gravitational Potential = -([G.]*Mass)/Displacement of Body to evaluate the Gravitational Potential, Gravitational Potential formula is defined as the energy an object has due to its position within a gravitational field, which is the sum of the products of the gravitational constant, the mass of the object, and the distance from the center of the Earth, divided by the distance from the center of the Earth. Gravitational Potential is denoted by V symbol.

How to evaluate Gravitational Potential using this online evaluator? To use this online evaluator for Gravitational Potential, enter Mass (m) & Displacement of Body (s_body) and hit the calculate button.

FAQs on Gravitational Potential

What is the formula to find Gravitational Potential?

The formula of Gravitational Potential is expressed as Gravitational Potential = -([G.]*Mass)/Displacement of Body. Here is an example- -2.9E-9 = -([G.]*33)/0.75.

How to calculate Gravitational Potential?

With Mass (m) & Displacement of Body (s_body) we can find Gravitational Potential using the formula - Gravitational Potential = -([G.]*Mass)/Displacement of Body. This formula also uses Gravitational constant .

What are the other ways to Calculate Gravitational Potential?

Here are the different ways to Calculate Gravitational Potential-

Gravitational Potential=-([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3)
Gravitational Potential=-([G.]*Mass)/Distance from Center to Point
Gravitational Potential=-([G.]*Mass)/Radius

Can the Gravitational Potential be negative?

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

Which unit is used to measure Gravitational Potential?

Gravitational Potential is usually measured using the Joule per Kilogram[J/kg] for Gravitational Potential. Joule per Gram[J/kg], Joule per Centigram[J/kg], Joule per Milligram[J/kg] are the few other units in which Gravitational Potential can be measured.

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