Gravitational Potential Energy Definition Math

Gravitational potential definition physics.

Gravitational potential energy definition math. Potential energy mass gravity height. In classical mechanics the gravitational potential energy u is energy an object possesses because of its position in a gravitational field. The potential energy due to elevated positions is called gravitational potential energy and is evidenced by water in an elevated reservoir or kept behind a dam. Gravitational potential energy is the energy stored in an object due to its position above the earth s surface.

P e f g h m g h displaystyle begin aligned pe f g h mgh end aligned where pe is the potential energy f g is the gravitational force g is the acceleration due to gravity h is the height difference between the start and finish and m is the mass of the object being moved. Very large scale energy storage is required for storing excess electrical energy from wind and solar energy resources so that it can be transferred to the electricity grid at times of peak demand. M s 2 m s2 times the height of the object. E p m g h.

The gravitational potential energy formula is equal to the mass times the force of gravity where g is a constant valued 9 8. The gpe formula gpe mgh shows that it depends on the mass of the object the acceleration due to gravity and the height of the object. We are giving a detailed and clear sheet on all physics notes that are very useful to understand the basic physics concepts. The gravitational energy per unit mass at a location is equal to the work energy transferred per unit mass that would be needed to move the object from a fixed reference location to the location of the object.

Gravitational potential at any point in gravitational field is equal to the work done per unit mass in bringing a very light body from infinity to that point. Where m is the mass of the object. Potential energy is equal in magnitude but negative to the work done by the gravitational field moving a body to its given position in space from infinity. Since gravity is a conservative force the potential energy gain or loss is independent of the path taken to get there.

It is denoted by v g. The gravitational potential v at a location is the gravitational potential energy u at that location per unit mass. Gravitational potential energy is the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field. Gravitational potential energy gpe is an important physical concept that describes the energy something possesses due to its position in a gravitational field.

Gravitational potential energy is one of very few forms of energy that can be used for practical energy storage at a very large scale. M s 2. E g r a v.