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*rc^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: 384000000 Meter --> 384000000 Meter No Conversion Required
Distance from Center to Point: 4 Meter --> 4 Meter No Conversion Required
Radius: 1.25 Meter --> 1.25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = -([G.]*m*(3*rc^2-a^2))/(2*R^3) --> -([G.]*33*(3*384000000^2-4^2))/(2*1.25^3)
Evaluating ... ...
V = -249418703.123251
STEP 3: Convert Result to Output's Unit
-249418703.123251 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
-249418703.123251 Joule per Kilogram <-- Gravitational Potential
(Calculation completed in 00.020 seconds)

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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7 Gravitational Potential Calculators

Gravitational Potential of Thin Circular Disc
Go Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
Gravitational Potential when Point is Inside of Non Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3)
Gravitational Potential of Ring
Go Gravitational Potential = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))
Gravitational Potential when Point is Outside of Non Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
Gravitational Potential when Point is Outside of Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
Gravitational Potential
Go Gravitational Potential = -([G.]*Mass)/Displacement of Body
Gravitational Potential when Point is Inside of Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Radius

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

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

How is gravitational potential calculated when point p is inside of non conducting solid sphere ?

The gravitational potential when point p is inside of non conducting solid sphere is calculated by the formula V= -GM(3a2 - r2) / 2a3 where G is the universal gravitational constant whose value is G = 6.674×10-11 m3⋅kg-1⋅s-2 , M is the mass , a is the radius of the ring and r is the distance from center of ring to the point where mass is placed.

What is the unit and dimension of gravitational potential when point p is inside of non conducting solid sphere ?

The unit of gravitational potential when point p is inside of non conducting solid sphere is Jkg-1. The dimension of gravitational potential is [ M0L2T-2]

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 at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy. 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 (rc), 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 -> -249418703.123251 = -([G.]*33*(3*384000000^2-4^2))/(2*1.25^3).

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 at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy and is represented as V = -([G.]*m*(3*rc^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 at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy 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 (rc), 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 6 other way(s) to calculate the same, which is/are as follows -
  • Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
  • Gravitational Potential = -([G.]*Mass)/Radius
  • Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
  • Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
  • Gravitational Potential = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))
  • Gravitational Potential = -([G.]*Mass)/Displacement of Body
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