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power = 40hp =29828w
P=work done divided by time
=>P=dW/dt=F.v where f is the force and v is the velocity
v=d/t=20/16=1.25m/s
=>F=P/v=29828/1.25=23862.4 N
This F is the force applied by the elevator to carry itself and the passengers
These forces are:
Weight of the elevator Wele=600*9.81=5886N
Weight of the passengers Wpas=9.81m
=> F-Wele-Wpas=ma
for this elevator to hold the maximum number of passengers it means that the force applied by the weight of the elevator plus that of the passengers must be equal to the force provided by the motor thus rendering the elevator at rest => acceleration (a)=0
=>F-Wele-Wpas=0
=>23862.4-5886-9.81m=0
=>9.81m=17976.4
=>m=1832.5kg
If the average mass of a passenger is 65
=>maximum number of passengers that can ride in the elevator are
1832.5/65=28.2
=> approximately 28 passengers can ride in the elevator
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