Question

Derive the expression for potential energy

Answer 1

Heya,

Derivation for the equation of Potential Energy:

Let the work done on the object against gravity = W
Work done, W = force × displacement
                 Work done, W  = mg × h
                 Work done, W = mgh

Since workdone on the object is equal to mgh, an energy equal  to mgh units is gained by the object . This is the potential energy of the object.
 【Potential energy= mgh】

HOPE IT HELPS:-))

Answer 2

Consider an object of mass "m".
 It is raised through a height “h” meter from the ground.
By applying force "F",
 The object gains energy to do the work done (w) on it.

Work done = force x displacement

             w = F x h       [ Since F = ma  
                                                a = g 
                                                F = mg  ]
           
           
            ∴  w = m g h