Question

True/False: More power is needed to carry a heavy suitcase slowly up a flight of stairs than to carry the suitcase quickly up the same flight of stairs.

Answer 1

The statement is false; carrying a suitcase quickly up a flight of stairs requires more power than carrying it slowly, even though the work done is the same.

Step-by-step explanation:

The statement is false. The amount of work done in carrying a suitcase up a flight of stairs is the same regardless of the speed, as work is defined as the force exerted along the direction of displacement times the displacement (W = Fd). Since the vertical displacement and the weight of the suitcase are constants, the work done remains constant.

However, power is the rate at which work is done, which depends on the time taken to do the work (P = W/t). Carrying the suitcase quickly requires more power because the same work is done over a shorter period of time.