You are designing a high$-$speed elevator for a new skyscraper. The elevator will have a mass limit of $2400$ kg $($including passengers$).$ For passenger comfort, you choose the maximum ascent speed to be $18\mathrm{.}0$ m$/$s$,$ the maximum descent speed to be $10\mathrm{.}0$ m$/$s$,$ and the maximum acceleration magnitude to be $4\mathrm{.}90$ m$/$s$2.$ Ignore friction.

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

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