A man weighing 700 Nb is in an elevator that is accelerating upward at 4 m/s². The force exerted on him by the elevator floor is: A) 71 N B) 290 N C) 410 N D) 700 N E) 990 N

Question

Quizplus · Accepted Answer

The force exerted on the man by the elevator floor is the normal force, which is equal to the gravitational force plus the force due to the elevator's acceleration. The gravitational force is 700 N (weight), and the additional force due to acceleration is mass times acceleration (m*a). First, convert the weight to mass: 700 N = m * 9.8 m/s², so m = 71.43 kg. The additional force is 71.43 kg * 4 m/s² = 285.72 N. The total force is 700 N + 285.72 N = 985.72 N, which rounds to 990 N.

A Man Weighing 700 Nb Is in an Elevator That