Answer:
T = 4000 N
Explanation:
We have,
Mass of an elevator, m = 500 kg
It is moving downward with an acceleration of [tex]2\ m/s^2[/tex]. 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 :
[tex]F=m(g-a)[/tex]
g is acceleration due to gravity
[tex]F=500\times (10-2)\\\\F=4000\ N[/tex]
So, the tension force of the cable on the elevator is 4000 N.