Final answer:
The force exerted on the rope to raise a block at constant speed is equal to the weight of the block, calculated using the formula F = mg, where m is the mass of the block and g is the acceleration due to gravity.
Step-by-step explanation:
The magnitude of the force fcpr exerted by a person on the rope to raise a block at constant speed can be found using Newton's second law, which is F = ma. If the block is raised at a constant speed, then the acceleration a is zero, and the net force acting on the block is also zero. Considering the forces at play, and neglecting air resistance, the person must exert a force equal to the gravitational force acting on the block (its weight) to raise it at constant speed. This force can be calculated as F = mg, where m is the mass of the block and g is the acceleration due to gravity (9.81 m/s2).