physics

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A 2.7 × 10
3
kg elevator carries a maximum
load of 888.9 kg. A constant frictional force
of 2.1 × 10
3
N retards the elevator’s motion
upward.
The acceleration of gravity is 9.81 m/s
2
.
What minimum power must the motor deliver to lift the fully loaded elevator at a constant speed 2.10 m/s?
Answer in units of k

  • physics -

    m = m1 + m2 = 2700 + 888.9 = 3589 kg. =
    Total mass.

    F = mg = 3589 * 9.81 = 35,208 N.

    Fn = Fap - F - Fr = 0, a = 0.
    Fap - 35208 - 2100 = 0,
    Fap = 37,208 N. = Force applied by motor.

    Power = F * V = 37,208 * 2 m/s = 74,416
    Joules/s = 74,416 Watts. = 74.416 Kilowatts.

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