establish the relationship P.E. = mgh where the symbols have their usual meanings
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Gravitational Potential energy:
The Gravitational potential energy of an object at a point above the ground is defined as the work done in raising it from the ground to that point against gravity.
Consider an object of mass "m" is raised to height h from the ground .
A force is required to do this. the minimum force required to raise the object is equal to the weight of the object[mg].
The object gains energy equal to the work done on it. Let the work done on the object against gravity be "w"
WorkDone=W= Force x displacement
=mgxh
∴W=mgh
since the workdone on the object is equal to "mgh" an energy equal to "mgh" units is gained by object.This is the potential energy of object at height "h"
∴ P.E=mgh
The Gravitational potential energy of an object at a point above the ground is defined as the work done in raising it from the ground to that point against gravity.
Consider an object of mass "m" is raised to height h from the ground .
A force is required to do this. the minimum force required to raise the object is equal to the weight of the object[mg].
The object gains energy equal to the work done on it. Let the work done on the object against gravity be "w"
WorkDone=W= Force x displacement
=mgxh
∴W=mgh
since the workdone on the object is equal to "mgh" an energy equal to "mgh" units is gained by object.This is the potential energy of object at height "h"
∴ P.E=mgh
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