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(\Deltax)

T=16170 N