A 1000-kg elevator is rising and its speed is increasing at 3 m/s². The tension in the elevator cable is: A) 6800 N B) 1000 N C) 3000 N D) 9800 N E) 12800 N

Question

Quizplus · Accepted Answer

The tension in the cable must overcome both the gravitational force and provide the upward acceleration. The gravitational force is 1000 kg * 9.8 m/s² = 9800 N. The additional force needed for the acceleration is 1000 kg * 3 m/s² = 3000 N. Therefore, the total tension is 9800 N + 3000 N = 12800 N.

A 1000-Kg Elevator Is Rising and Its Speed Is Increasing