In 2 minutes, a ski lift raises four skiers at a constant speed to a height of 123 m. The average mass of each skier is 71 kg. What is the a

Question

In 2 minutes, a ski lift raises four skiers at a constant speed to a height of 123 m. The average mass of each skier is 71 kg. What is the average power provided by the tension in the cable pulling the lift

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bonexptip 3 months 2021-07-28T15:10:11+00:00 1 Answers 49 views 0

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    2021-07-28T15:12:10+00:00

    Answer:

    The average power  provided by the tension in the cable pulling the lift is = 714 W

    Explanation:

    Given data

    Mass = 71 kg

    Change in height = 123 m

    When the lift moves in upward direction then in that case kinetic energy is constant & only potential energy changes.

    Change in potential energy Δ PE = m g ( h_f - h _ i )

    Δ PE = 71 × 9.81 × 123

    Δ PE = 85670.73 J

    Time = 2 min = 120 sec

    So average power is given by

    P_{avg} = \frac{Change \ in \ potential \ energy}{Time}

    P_{avg} = \frac{85670.73}{120}

    P_{avg} = 714 \ W

    Therefore the average power  provided by the tension in the cable pulling the lift is = 714 W

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