Answer :
Final answer:
The change in the kinetic energy of the box is calculated by subtracting the work done by the friction force from the work done by the applied force. Hence, the change in kinetic energy of the box is 25 Joules.
Explanation:
The question is asking for the change in the box's kinetic energy when a horizontal force does 40 J of work on the box and the kinetic friction force, between the box and the floor, does work on the box with a magnitude of 15 J. The work done to the box is the difference between the work done by the horizontal force and the work done by the friction force. Therefore, the change in the kinetic energy of the box is: 40 J (work done by the applied force) - 15 J (work done by friction) = 25 J. Hence, the correct answer is a. 25 J.
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