Physics

To solve this problem, we can use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. Since the cart starts from rest, the initial kinetic energy is zero, and the work done by the force will equal the final kinetic energy.

Calculate the work done by the force

The force is applied over a distance . The work done by the force is:

Apply the work-energy theorem

The work done on the cart is equal to the change in its kinetic energy:

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