Total energy of a system is always conserved, no matter what internal and external forces on the body are present. State whether the statement is True (or) False And Justify it
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Total (Mechanical) energy is the sum of the potential and kinetic energies in a system. The principle of the conservation of mechanical energy states that the total mechanical energy in a system remains constant as long as the only forces acting are conservative forces.
Work( by Conservative Force)=∆KE
-∆U=∆KE
(T.M.E.) initial=(T.M.E.)final
if the forces are non conservative then
Work (done by others)= (T.M.E.) final-(T.M.E.)initial
Work( by Conservative Force)=∆KE
-∆U=∆KE
(T.M.E.) initial=(T.M.E.)final
if the forces are non conservative then
Work (done by others)= (T.M.E.) final-(T.M.E.)initial
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The total energy of a system is conserved only if all the forces acting on it are conservative in nature. Therefore, the given statement is false.
Explanation:
- According to the principle of conservation of mechanical energy, the total mechanical energy of the system is conserved if the forces applied on it are conservative.
- This can be justified by the following example.
- For example, suppose a car moving on an inclined surface where there is a frictional force that acts on the car.
- This frictional force is a non-conservative force.
- In such a case, the energy lost in doing the work against this frictional force cannot be retrieved.
- Therefore, in this case, the total mechanical energy cannot be conserved.
- Hence, the given statement is false.
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