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Wednesday, 8 March 2017

Work, Energy and Power III


WORK ENERGY THEOREM
It states that total work done on the body is equal to the change in kinetic energy.(Provided body is confined to move horizontally and no dissipating forces are operating).
Consider a body of man m moving with initial velocity V1 . After travelling through displacement s its final velocity becomes Vunder the effect of force F.

It states that energy can neither be creased neither be destroyed. It can only be converted from one form to another. Consider a body of man m situated at height h & moving with velocity V0. Its energy will be.
From above it must be clear that E1 = E2 = E3. This proves the law of conservation of energy.

CONSERVATIVE FORCE
Forces are said to be conservative in nature if work done against the forces gets conversed in the body in form of potential energy.
Example:-
gravitational forces, elastic forces & all the central forces.

PROPERTIES OF CONSERVATIVE FORCES
1. Work done against these forces is conserved & gets stored in the body in the form of P.E.
2. Work done against these forces is never dissipated by being converted into nonusable forms of energy like heat, light, sound etc.
3. Work done against conservative forces is a state function & not path function i.e. Work done against it, depends only upon initial & final states of body & is independent of the path through which process has been carried out.
4. Work done against conservative forces is zero in a complete cycle.

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