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16 October, 06:04

Un ascensor de masa 900 kg levanta 6 pasajeros 30 m en 1 minuto, cada pasajero tiene una masa de 65 kg. Calcular el trabajo realizado y la potencia desarrollada por el motor.

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  1. 16 October, 07:57
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    Work done=114, 777 J

    Power = 1912.95 W

    Explanation:

    Work done is the product of force and distance moved, expressed as

    W=Fd

    But F=mg hence substititing back into the formula of work done

    W=mgd

    Where m is mass, g is acceleration due to gravity, d is distance

    Since they are six people, the mass will be 65*6=390 kg

    Taking g as 9.81 m/s² and d as 30 m

    W=390*9.81*30=114,777 J

    Power is defined as the rate of work done per unit time

    P=W/t

    Where W is work done, P is power and t is time.

    Substituting t for 60 seconds and W with 114,777 J

    P=114,777:60=1,912.95 W
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