Elevator that can withstand max passenger

An elevator has a mass of 600 kg 600\text{ kg} (excluding passengers' mass). The elevator is designed to ascend, at a constant speed, a vertical distance of 20.0 m 20.0\text{ m} (five floors) in 16.0 s , 16.0\text{ s}, and is driven by a motor that can provide up to 40 hp 40\text{ hp} to the elevator.

What is the maximum number of passengers that can ride in the elevator?


Details and Assumptions:

  • 1 hp = 746 watt . 1\text{ hp}=746\text{ watt}.
  • The mass of a passenger is 65.0 kg . 65.0\text{ kg}.


The answer is 28.

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