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20 February, 18:30

An elevator and the people inside have a combined mass of 980 kg in a building where each floor is 3.6 m apart. If the elevator's power rating is 55 kW how long does it take for a trip from the 4th floor to the 8th?

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  1. 20 February, 18:43
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    2.51seconds

    Explanation: Given that,

    Mass = 980kg, Power = 55kw = 55000w, height = 4*3.6 = 14.4m g = 9.8m/s^2, time=?

    Energy consumed = mass*g*height

    Energy consumed = 980*9.8*14.4

    Energy consumed = 138297.6joules

    Where power = Energy consumed/time

    55000 = 138297.6joules: time

    55000t = 138297.6

    t = 138297.6:55000

    t = 2.51seconds

    The time to complete the trip from the 4th to 8th floor is 2.51seconds
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