Solving for Tension in Elevator Cable: 2300 kg, 50 m, 12 m/s

[tjbateh]

Homework Statement

An elevator and its load have a combined mass of 2300 kg. Find the tension in the supporting cable when the elevator, originally moving downward at 12 m/s, is brought to rest with constant acceleration in a distance of 50 m.

Homework Equations

The Attempt at a Solution

Any idea how to approach this problem?

 

[tiny-tim]

Hi tjbateh!

This question is in two parts, a maths part and a physics part.

The maths is to find the acceleration.

The physics is then to find the force.

What is the acceleration? ​