A 5.0-kg mass is attached to the ceiling of an elevator by a rope whose mass is negligible. What force does the mass exert on the rope when the elevator has an acceleration of 4.0 m/s² upward? A) 69 N downward B) 29 N downward C) 49 N downward D) 20 N downward E) 19 N downward

Question

Quizplus · Accepted Answer

When the elevator accelerates upward, the force exerted by the mass on the rope is the sum of the gravitational force (mg) and the force due to the acceleration (ma). Thus, F = m(g + a) = 5.0 kg * (9.8 m/s² + 4.0 m/s²) = 69 N downward.

A 50-Kg Mass Is Attached to the Ceiling of an Elevator