The cable supporting a 2100kg elevator has a maximum strength of 2.19×10^4 N.

Question

What maximum upward acceleration can it give the elevator without breaking?

Answer 1

mass = 2100 kg
weight
= mg
= 2100 kg *9.8 m/s/s
=20580 N
Strength
=21900 N
Reserve capacity for upwards acceleration, F
=21900-20580
=1320N
Use F=ma to find a. It will be less than 1 m/s/s.

I just hope this is not a real life problem.