- #1

Gauss177

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## Homework Statement

A 15.0-kg monkey hangs from a cord suspended from the ceiling of an elevator. The cord can withstand a tension of 200 N and breaks as the elevator accelerates. What was the elevator's minimum acceleration (magnitude and direction)?

## Homework Equations

## The Attempt at a Solution

I labeled the force of rope as Fr, so:

Fr - mg = ma

(200 N) - (15.0 kg)(9.8 m/s^2) = (15.0 kg)a

a = 3.53 m/s^2

This is the answer I came to. My question is why is 200 N plugged into the equation above? I don't see any other way to do it, but the problem states that the cord can withstand a tension of 200 N, so if I plug in 200 N the cord still wouldn't break? But then again I don't see how else to do it.