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The law of conservation of energy (6-28)

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Question

Change in the kinetic energy K of an object during its motion

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Review

Equation 6-28 suggests that we broaden our definition of energy to include both total mechanical energy (E=K+U) and internal energy Eother. In this case, we have to expand the system to include not only the object and the sources of the conservative forces that produce ΔU, but also the sources of the nonconservative forces that result in ΔEother (like your hand in the case of the thrown pencil). As the object moves, K, U, and Eother can all change values, but the sum of these changes is zero: One kind of energy can transform into another, but the total amount of energy of all forms remains the same. This is the most general statement of the law of conservation of energy.