If the tension in the cable supporting an elevator equals the weight of the elevator, the elevator may be

Step-by-step solution

Let T be the tension in the cable and mg be the weight of the elevator. The net force acting on the elevator is F_ net = T - mg . Given that T = mg , we get F_ net = 0 . By Newton's second law, F_ net = ma , so the acceleration of the elevator is a = 0 . Zero acceleration implies that the elevator is either at rest or moving with a uniform velocity. Thus, the elevator may be moving downward with uniform speed or moving upward with uniform speed.