According to the work-energy theorem, what is the relationship between work and kinetic energy?

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. This means that if work is performed on an object, it will result in a change in the object's kinetic energy. For example, if you push a stationary car and apply a force to it, the work done by your push increases the car's kinetic energy as it begins to move.

This relation can be mathematically expressed by the formula:

[ W = \Delta KE = KE_{final} - KE_{initial} ]

where ( W ) is the total work done, ( KE_{final} ) is the kinetic energy of the object after the work is done, and ( KE_{initial} ) is the kinetic energy before the work is done. Therefore, the correct answer emphasizes that the total work done directly equals the change in kinetic energy, according to the work-energy theorem.

The other options do not accurately capture this fundamental principle. For instance, while total work contributing to kinetic energy over time may seem reasonable, it does not encompass the direct equality highlighted by the theorem. Describing work as irrelevant to kinetic energy changes contradicts the theorem's premise, and stating that only positive work affects kinetic energy ignores