Gravitational Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gravitational Potential = -([G.]*Mass)/Displacement of Body
V = -([G.]*m)/sbody
This formula uses 1 Constants, 3 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.
Displacement of Body - (Measured in Meter) - Displacement of Body is defined to be the change in position of an object.
STEP 1: Convert Input(s) to Base Unit
Mass: 33 Kilogram --> 33 Kilogram No Conversion Required
Displacement of Body: 0.75 Meter --> 0.75 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = -([G.]*m)/sbody --> -([G.]*33)/0.75
Evaluating ... ...
V = -2.9365952E-09
STEP 3: Convert Result to Output's Unit
-2.9365952E-09 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
-2.9365952E-09 -2.9E-9 Joule per Kilogram <-- Gravitational Potential
(Calculation completed in 00.020 seconds)

Credits

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 Formula

Gravitational Potential = -([G.]*Mass)/Displacement of Body
V = -([G.]*m)/sbody

What is gravitational potential and how it is calculated?

Gravitational Potential 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.
Thus gravitational potential is V= -GM/r

What is the unit and dimension of gravitational potential?

The unit of gravitational potential is Jkg-1. The dimension of gravitational potential is [ M0L2T-2]

How to Calculate Gravitational Potential?

Gravitational Potential calculator uses Gravitational Potential = -([G.]*Mass)/Displacement of Body to calculate the Gravitational Potential, Gravitational Potential 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 using this online calculator? To use this online calculator for Gravitational Potential, enter Mass (m) & Displacement of Body (sbody) and hit the calculate button. Here is how the Gravitational Potential calculation can be explained with given input values -> -2.9E-9 = -([G.]*33)/0.75.

FAQ

What is Gravitational Potential?
Gravitational Potential 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)/sbody or Gravitational Potential = -([G.]*Mass)/Displacement of Body. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it & Displacement of Body is defined to be the change in position of an object.
How to calculate Gravitational Potential?
Gravitational Potential 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)/Displacement of Body. To calculate Gravitational Potential, you need Mass (m) & Displacement of Body (sbody). With our tool, you need to enter the respective value for Mass & Displacement of Body 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 & Displacement of Body. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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))
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