Probing the misconception:
Two blocks, one with a mass of 1 kg the other with a mass of 2 kg, start from rest. They experience a constant force of 10 N for 1 s. What are their kinetic energies after the force has been applied.
Two blocks, one with twice the mass of the other, start from rest. They experience the same constant force for 1 s. Compare their kinetic energies after the force has been applied.
Related misconceptions/student difficulties that may arise in the question:
Students use compensation arguments to incorrectly solve conceptual problems.