Question

Define potential energy derive an expression for it on what factor does gravitational on energy depends

Answer 1

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Potential Energy

$\underline{Definition:}$
The Energy Possessed by a body by virtue of it's motion is called as Potential Energy

The Stored Energy of Position possessed by an object is called Potential Energy.

$\underline{Derivation}$

Consider an object of Mass 'm' raised from the ground to height 'h'

Let w be the work done on the object against gravity                  

We have ,
Work done, W = force × displacement                 
& Force F = mg

Work done, W  = mg × h  = mgh 

Which Means,
An energy equal  to mgh units is gained by the object . This is the potential energy (Ep) of the object.  

Potential Energy Ep= mgh
(g = Acceleration due to gravity = 9.8 m/s)



Ep depends on :
• Mass of the object
• Height of the object from Ground

• The potential energy and the mass of an object are directly proportional to each other.

- Heavy objects have greater potential Energy.

• Also the Gravitational potential energy and the height of an object are directly proportional to each other.

-The higher that an object is raised, the greater the gravitational potential energy. 

Answer 2

Explanation:

Potential Energy

\underline{Definition:}

Definition:

The Energy Possessed by a body by virtue of it's motion is called as Potential Energy

The Stored Energy of Position possessed by an object is called Potential Energy.

\underline{Derivation}

Derivation

Consider an object of Mass 'm' raised from the ground to height 'h'

Let w be the work done on the object against gravity

We have ,

Work done, W = force × displacement

& Force F = mg

Work done, W = mg × h = mgh

Which Means,

An energy equal to mgh units is gained by the object . This is the potential energy (Ep) of the object.

Potential Energy Ep= mgh

(g = Acceleration due to gravity = 9.8 m/s)

Ep depends on :

• Mass of the object

• Height of the object from Ground

• The potential energy and the mass of an object are directly proportional to each other.

- Heavy objects have greater potential Energy.

• Also the Gravitational potential energy and the height of an object are directly proportional to each other.

-The higher that an object is raised, the greater the gravitational potential energy.