A 710 kg car drives at a constant speed of 23 m/s. It is subject to a drag force of 500 N. What power is required from the car’s engine to d

Question

A 710 kg car drives at a constant speed of 23 m/s. It is subject to a drag force of 500 N. What power is required from the car’s engine to drive the car

a) on level ground?

b) up a hill with a slope of 2.0°?

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Hải Đăng 5 years 2021-08-16T22:15:39+00:00 1 Answers 147 views 0

Answers ( )

  1. lethu
    0
    2021-08-16T22:16:43+00:00
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    Explanation:

    Given that,

    Mass of the car, m = 710 kg

    Speed of the car, v = 23 m/s

    Drag force, F = 500 N

    (a) Let P is the power is required from the car’s engine to drive the car on the level ground. Power is given by :

    P=F\times v\\\\P=500\ N\times 23\ m/s\\\\P=11500\ W

    (b) Let P is the power is required from the car’s engine to drive the car on up a hill with a slope of 2 degrees.

    At this slope, force will be, F=mg\ \sin\theta

    Total force will be :

    F=710\times 9.8\times \sin(2)+500\\F=742.83\ N

    Power is given by :

    P=F\times v\\\\P=742.83\times 23\\\\P=17085.09\ W

    or

    P = 17 kW

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