Question

A 500 kg empty elevator moves with a downwards acceleration of 2 m/s2. What is the tension force of the cable on the elevator? 5000 N 4000 N 6000 N 1000 N

Answer 1

T = 4000 N

Step-by-step explanation:

We have,

Mass of an elevator, m = 500 kg

It is moving downward with an acceleration of
`2\ m/s^2`. It is required to find the tension force of the cable on the elevator. We know that when the elevator is moving downward, the net force on it is given by :

`F=m(g-a)`

g is acceleration due to gravity

`F=500* (10-2)\\\\F=4000\ N`

So, the tension force of the cable on the elevator is 4000 N.