A tense ride down

An elevator and its load have a combined mass of \(800\text{ kg}\). The elevator is initially moving downward at \(10.0\text{ m/s}\); it slows to a stop with constant acceleration in a distance of \(25.0\text{ m}\). What is the tension \(T\) in the supporting cable while the elevator is being brought to rest? Take \(g=9.8\text{ m/s}^2\).

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