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Law of Conservation of Energy

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How to know if final kinetic energy is zero or final potential energy is zero while solving energy conservation related problems?

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Q. Find the final velocity of the body, if kinetic energy at ground=kinetic energy+potential energy.

Once a zero potential energy reference state is chosen, the changes in potential energy for a given initial and final states

Q. Assertion: A body with zero mechanical energy can have no momentum, but a body with zero momentum can have mechanical energy.
Reason: Mechanical energy can either be the sum of kinetic energy and potential energy or exist individually.

Q. Assertion :According to law of conservation of mechanical energy change in potential energy is equal and opposite to the change in the kinetic energy. Reason: Mechanical energy is not conserved quantity.

x = \frac{A}{2}

, what fraction of the mechanical energy is potential? What fraction is kinetic? Assume potential energy to be zero at mean position.

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