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## Homework Statement

1) An elevator cable can withstand a maximum tension of 19,500N before breaking. The elevator has a mass of 490 kg and a maximum acceleration of 2.24 m/s2. Engineering safety standards require that the cable tension never exceed two-thirds of the breaking tension. How may 65-kg people can the elevator safely accommodate?

## Homework Equations

F = ma

## The Attempt at a Solution

F = ma

F = (2/3)*(19,500 N)

F = 13,000 N

Then:

n = { [(13,000 N) / (2.24 m/s^2)] - 490 kg } / 65 kg

n = 81.7

n = 81 people