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

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+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%
✖Distance from center to point is the length of line segment measured from the center of a body to a particular point.ⓘ Distance from Center to Point [a]			+10% -10%
✖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.ⓘ Radius [R]			+10% -10%

✖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.ⓘ Gravitational Potential when Point is Inside of Non Conducting Solid Sphere [V]

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

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3)
V = -([G.]*m*(3*r_c^2-a^2))/(2*R^3)
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Gravitational Potential - (Measured in Joule per Kilogram) - 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.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body 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.
Distance from Center to Point - (Measured in Meter) - Distance from center to point is the length of line segment measured from the center of a body to a particular point.
Radius - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Mass: 33 Kilogram --> 33 Kilogram No Conversion Required
Distance between Centers: 384000 Meter --> 384000 Meter No Conversion Required
Distance from Center to Point: 25 Meter --> 25 Meter No Conversion Required
Radius: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = -([G.]*m*(3*r_c^2-a^2))/(2*R^3) --> -([G.]*33*(3*384000^2-25^2))/(2*250^3)

Evaluating ... ...

V = -3.11773378463575E-05

STEP 3: Convert Result to Output's Unit

-3.11773378463575E-05 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

-3.11773378463575E-05 ≈ -3.1E-5 Joule per Kilogram <-- Gravitational Potential

(Calculation completed in 00.007 seconds)

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< Gravitational Potential Calculators

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

Gravitational Potential

LaTeX Go Gravitational Potential = -([G.]*Mass)/Displacement of Body

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

LaTeX Go

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

What is Mass of Earth ?

The mass of the Earth is a measure of the amount of matter it contains and is a fundamental parameter in understanding the Earth's gravitational force and its interactions with other celestial bodies.

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

Gravitational Potential when Point is Inside of Non Conducting Solid Sphere calculator uses Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3) to calculate 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 calculate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere using this online calculator? To use this online calculator 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. Here is how the Gravitational Potential when Point is Inside of Non Conducting Solid Sphere calculation can be explained with given input values -> -3.1E-5 = -([G.]*33*(3*384000^2-25^2))/(2*250^3).

FAQ

What is Gravitational Potential when Point is Inside of Non Conducting Solid Sphere?

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 and is represented as V = -([G.]*m*(3*r_c^2-a^2))/(2*R^3) or Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3). Mass is the quantity of matter in a body 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, Distance from center to point is the length of line segment measured from the center of a body to a particular point & 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.

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

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 is calculated using Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3). To calculate Gravitational Potential when Point is Inside of Non Conducting Solid Sphere, you need Mass (m), Distance between Centers (r_c), Distance from Center to Point (a) & Radius (R). With our tool, you need to enter the respective value for Mass, Distance between Centers, Distance from Center to Point & Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gravitational Potential?

In this formula, Gravitational Potential uses Mass, Distance between Centers, Distance from Center to Point & Radius. We can use 3 other way(s) to calculate the same, which is/are as follows -

Gravitational Potential = -([G.]*Mass)/Displacement of Body
Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
Gravitational Potential = -([G.]*Mass)/Radius

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