Minimum Acceleration for Safe Rope Sliding: 40kg Person on 350N Tension Rope

[Dembart]

Homework Statement

What is the minimum acceleration with which a 40.0kg person slides down a rope that can withstand a maximum tension of 350N and have the rope not break?

Homework Equations

Fnet=ma

The Attempt at a Solution

see upload

 

[haruspex]

Your image is a bit hard to read, especially since it comes out sideways, but the final answer looks right.
In future, please take the trouble to type in your working, only using images for diagrams and pages of textbooks.

 

[Dembart]

Will do, Thank you.