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Potential Energy

6.5.1 Gravitational Potential Energy


It is defined as the work done against the gravitational force to elevate a particle of m to a height h.

If we denote Vg as gravitational P.E.,

Work done=ʃ F dy

mg dy = mg (h2 – h1)

= mg  ∆h.

∆vg = mg = ∆h

Vg = mgh


6.5.2 Elastic Potential Energy


If                                                         K = spring constant in N I m

x = distance in m

If the deformation is from x1 to x2 then

Potential energy,