Calculating Tension in an Elevator Cable - Is My Solution Correct?

[physicos]

Homework Statement

Here is the statement :
An elevator cabin of mass 567 kg combine a mass of people inside the cabin of 180 kg.The cabin is pulled upward by a cable with a constant acceleratuon of 6 m/s².
What is the tension T of the cable

Homework Equations

I used the second law of Newton :
F_net = ma
with m = 567 + 180 = 747

The Attempt at a Solution

so T+ F_g = ma
and T= ma+ mg
so T= 11810.07 N

IS IT CORRECT ??

 

[Doc Al]

Looks OK.