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# Elevator Coming to a Stop Tension Calculation

APPHMC-XCPCJ3

A passenger rides in an elevator, as shown above. The elevator and its passenger have a combined mass of $1600\text{ kg}$.

If the elevator, originally moving downward at $12\text{ m/s}$, is brought to rest with constant acceleration over a distance of $29\text{ m}$, what is the tension in the supporting cable?

A

$12,000\text{ N}$

B

$16,000\text{ N}$

C

$20,000\text{ N}$

D

$24, 000\text{ N}$

E

$28,000\text{ N}$