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## Homework Statement

***Note:**I'm really stuck in this part of Newton's 2nd Law so I may be asking a few more questions after this to practice for our upcoming examinations.

A cable supporting a 2125kg elevator has a maximum strength of 21750N. What maximum upward acceleration can it give without breaking?

## Homework Equations

1. Force

_{vertical}= Force

_{tension}+ Force

_{gravity}

2. Force= (mass)(acceleration)

## The Attempt at a Solution

What I did is:

Force

_{vertical}=21750N + [(-9.8m/s

^{2})(2125kg)]

Force

_{vertical}=925N

Then after solving the first part, i used the 2nd equation then did this:

925N = (2125N)(a)

a = 0.435 m/s

^{2}

I'm not quite sure if I'm right in this problem.

Thank you in advance.