$(1)$

Required information

You are designing a high$-$speed elevator for a new skyscraper. The elevator will have a mass limit of $2400kg($including passengers$).$ For passenger comfort, you choose the maximum ascent speed to be $18\mathrm{.}0\frac{m}{s},$ the maximum descent speed to be $10\mathrm{.}0\frac{m}{s},$ and the maximum acceleration magnitude to be $3\mathrm{.}50\frac{m}{s^2}.$ Ignore friction.

What is the minimum upward force that the supporting cables exert on the elevator car?