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

GoGravitational Potential 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 \cdot (3 \cdot {r c}^{2} - a^{2})}{2 \cdot R^{3}}

V - Gravitational Potential?m - Mass?r_c - Distance between Centers?a - Distance from Center to Point?R - Radius?[G.] - Gravitational constant?

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

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Here is how the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere equation looks like with Values.

Here is how the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere equation looks like with Units.

Here is how the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere equation looks like.

-3.1E-5 = - \frac{6.7E-11 \cdot 33 \cdot (3 \cdot 384000^{2} - 25^{2})}{2 \cdot 250^{3}}

-3.1E-5J/kg = - \frac{6.7E-11 \cdot 33kg \cdot (3 \cdot {384000m}^{2} - {25m}^{2})}{2 \cdot {250m}^{3}}

-3.1E-5 = - \frac{6.7E-11 \cdot 33 \cdot (3 \cdot 384000^{2} - 25^{2})}{2 \cdot 250^{3}}

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

Follow our step by step solution on how to calculate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = - \frac{[G.] \cdot 33kg \cdot (3 \cdot {384000m}^{2} - {25m}^{2})}{2 \cdot {250m}^{3}}

Next Step Substitute values of Constants

∴

V = - \frac{6.7E-11 \cdot 33kg \cdot (3 \cdot {384000m}^{2} - {25m}^{2})}{2 \cdot {250m}^{3}}

Next Step Prepare to Evaluate

∴

V = - \frac{6.7E-11 \cdot 33 \cdot (3 \cdot 384000^{2} - 25^{2})}{2 \cdot 250^{3}}

Next Step Evaluate

∴

V = -3.11773378463575E-05J/kg

LAST Step Rounding Answer

∴

V = -3.1E-5J/kg

Gravitational Potential when Point is Inside of Non Conducting Solid Sphere 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

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

Distance from Center to Point

Distance from center to point is the length of line segment measured from the center of a body to a particular point.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Center to Point

Radius

The Radius of the sphere helps defines a three-dimensional counterpart of a circle, with all its points lying in space at a constant distance from the fixed point.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

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

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

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 when Point is Inside of Non Conducting Solid Sphere?

Gravitational Potential when Point is Inside of Non Conducting Solid Sphere evaluator uses Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3) to evaluate the Gravitational Potential, Gravitational Potential when Point is Inside of Non Conducting Solid Sphere formula is defined as a measure of the gravitational potential energy at a point inside a non-conducting solid sphere, which is a fundamental concept in physics used to describe the gravitational interaction between objects. Gravitational Potential is denoted by V symbol.

How to evaluate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere using this online evaluator? To use this online evaluator for Gravitational Potential when Point is Inside of Non Conducting Solid Sphere, enter Mass (m), Distance between Centers (r_c), Distance from Center to Point (a) & Radius (R) and hit the calculate button.

FAQs on Gravitational Potential when Point is Inside of Non Conducting Solid Sphere

What is the formula to find Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

The formula of Gravitational Potential when Point is Inside of Non Conducting Solid Sphere is expressed as Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3). Here is an example- -3.1E-5 = -([G.]*33*(3*384000^2-25^2))/(2*250^3).

How to calculate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

With Mass (m), Distance between Centers (r_c), Distance from Center to Point (a) & Radius (R) we can find Gravitational Potential when Point is Inside of Non Conducting Solid Sphere using the formula - Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3). 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)/Displacement of Body
Gravitational Potential=-([G.]*Mass)/Distance from Center to Point
Gravitational Potential=-([G.]*Mass)/Radius

Can the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere be negative?

Yes, the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere, measured in Gravitational Potential can be negative.

Which unit is used to measure Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

Gravitational Potential when Point is Inside of Non Conducting Solid Sphere 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 when Point is Inside of Non Conducting Solid Sphere can be measured.

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

​GoGravitational Potential Formula

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

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

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

Gravitational Potential when Point is Inside of Non Conducting Solid Sphere Formula Elements

Other Formulas to find Gravitational Potential

Other formulas in Gravitational Potential category

How to Evaluate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

FAQs on Gravitational Potential when Point is Inside of Non Conducting Solid Sphere

Variable Name

GoGravitational Potential Formula

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