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Assignment: What does it mean for a quantity to be conserved?

Assignment: What does it mean for a quantity to be conserved?

What does it mean for a quantity to be conserved? Why are conserved physical quantities useful to physicists? 
Give an example which illustrates the difference between three kinds of energy and the transformation of energy from one kind to another.   Your example may include some of the following kinetic, thermal, gravitational potential, and spring potential energy.
In your example explain the difference between Energy, Work, and Power.

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