Elevator Problem: Find Tension in Cable

[eagleeyecherr]

Homework Statement

Elevator weighs 1400 kg with an initial velocity of 12 m/s (moving downward). With a constant acceleration, the elevator comes to a stop in 41 m. What is the tension on the elevator cable?

Homework Equations

T=m(a+g)

The Attempt at a Solution

I'm having trouble finding the acceleration of the elevator.

 

[eagleeyecherr]

I got it, a=1.75 m/s$$\hat{2}$$

by v$$\hat{2}$$=v$$\check{i}$$$$\hat{2}$$+2a($$\Delta$$x)

T=16170 N