Two particles of different mass start from rest. The same net force acts on both of them as they move over equal distances. How do their final kinetic energies compare

They are equal each other.

Explanation:

Assuming  no friction present, due to the equivalence between work and energy, we know that the net work done on the object by external forces, is equal to the change in the kinetic energy of the object.If  the same net force acts on both objects, causing them to move over equal distances, by definition of work, same work is done on both.So, as both start from rest, even though they have different masses, their final kinetic energies must be equal each other.

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