A student with a mass of 80.0 kg runs up three flights of stairs in 12.0 sec. The student has gone a vertical distance of 8.0 m. Determine t

Question

A student with a mass of 80.0 kg runs up three flights of stairs in 12.0 sec. The student has gone a vertical distance of 8.0 m. Determine the amount of work done by the student to elevate his body to this height. Determine the power consumed by the student. Assume that his speed is constant.

in progress 0
Orla Orla 3 years 2021-08-21T20:37:53+00:00 1 Answers 320 views -1

Answers ( )

  1. Giakhanh
    0
    2021-08-21T20:39:29+00:00
    Reply

    The amount of work done by the student to elevate his body to this height is 6278.4 J

    Power is 523.2 Watts

    Explanation:

    Work = Force x Displacement

    Force = Weight of student

    Weight = Mass x Acceleration due to gravity

    Mass, m = 80 kg

    Acceleration due to gravity, g = 9.81 m/s²

    Weight = 80 x 9.81 = 784.8 N

    Displacement = 8 m

    Work = 784.8 x 8 = 6278.4 J

    The amount of work done by the student to elevate his body to this height is 6278.4 J

    Power is the ratio of work to time taken

             P=\frac{W}{t}\\\\P=\frac{6278.4}{12}\\\\P=523.2W

    Power is 523.2 Watts

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )