Answered

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Is it possible for the sum of the kinetic energy and potential energy of an object to change without work having been done on the object?

No, because the work-energy theorem states that work done on an object is equal to the change in kinetic energy, and change in KE requires a change in velocity; It is assumed that mass is constant


No, because the work-energy theorem states that work done on an object is equal to the sum of kinetic energy, and the change in KE requires a change in displacement; It is assumed that mass is constant


Yes, because the work-energy theorem states that work done on an object is equal to the change in kinetic energy, and change in KE requires a change in velocity; It is assumed that mass is constant


Yes, because the work-energy theorem states that work done on an object is equal to the sum of kinetic energy, and the change in KE requires a change in displacement; It is assumed that mass is constant

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