answersLogoWhite

0


Best Answer

GPE=M*G*H

It means Gravitational potential energy=Mass* Gravity( which is always 9.8)* Height thanx ;)

* * * * *

The value of the force of gravity is approximately 9.8 on the surface of the earth. For simplicity it is assumed that it is 9.8 anywhere on the surface of the earth even though it is known to vary.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

15y ago

For situations near surface of the Earth: Ug = mgΔy where m is the mass of the object, g is the acceleration due to gravity, and Δy is the change in distance. For general situations involving a two-body system, Ug = Gm1m2/r where G is the universal gravitational constant, m1 and m2 are the mass of the two objects in question, and r is the distance between the objects.

This answer is:
User Avatar

User Avatar

Wiki User

15y ago

You could integrate the force f= GmM/r^2, E= integral fdr = - GmM/r + constant.

Another derivation is to recognize the essential variable in Nature the Energy-moment. The energy-moment = GmM for masses and zcqQ for charges. Potential Energy is the slope of the energy-moment.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you derive the equation for gravitational potential energy?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

The equation for gravitational potential energy is what?

EP = -mGM/r


What is equation potential?

Potential energy = mass x gravitational acceleration x height


Does speed affect gravitational potential energy of an object?

No, speed does not directly affect the gravitational potential energy of an object. Gravitational potential energy depends on an object's mass, height above a reference point, and the acceleration due to gravity, but not its speed.


What is the equation for calculating an object's gravitational potential energy?

The equation to calculate an object's gravitation potential energy is: PE=MGH where: PE is gravitational potential energy M is the objects mass G is the acceleration due to the gravitational pull of the Earth on its surface ( 9.8 m/s2) H is the height from the location that would give it zero potentional energy (generally the ground)


Why is potential energy called gravitational potential energy?

Potential energy and gravitational potential energy are different from each other ."Potential energy is the ability of a body to do work." Anddue_to_its_height.%22">"Gravitational potential energy is the ability of a body to do work due to its height."Gravitational potential energy is a type of potential energy.


What is the gravitational potential energy equation?

Gravitational potential energy = Mass x gravity x heightTherefore, an object at ground level is 0 meters above the ground, thus having no potential energy.PE = mghm = massg = gravitational accelerationh = height


What is the equation for calculating gravitational potential energy on the Earth?

The equation for calculating gravitational potential energy on Earth is PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity (9.81 m/s^2 on Earth), and h is the height of the object above a reference point.


What is the equation of potential energy?

The equation for gravitational potential energy is: Potential Energy = mass x gravity x height. For elastic potential energy, the equation is: Potential Energy = 0.5 x spring constant x displacement squared.


You can calculate gravitational potential energy by using the equation?

The gravitational potential energy can be calculated using the equation: GPE = mgh, where GPE is the gravitational potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. This equation describes the energy stored in an object due to its position in a gravitational field.


What does potential energy plus gravitational energy equals?

Gravitational-potential energy.


Can an objects mechanical energy be equal to its gravitational potential energy?

Yes. Mechanical energy is the sum of potential energy and kinetic energy; this includes gravitational potential energy.


Is gravitational energy kinetic?

Gravitational potential energy is a form of potential energy, not kinetic energy. It represents the energy stored in an object due to its position relative to a gravitational field. However, when that potential energy is converted into kinetic energy as the object falls, it can lead to movement and activity.