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15 November, 09:32

A car accelerates uniformly from rest to 27.2 m/s in 8.30 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.26 x 103 N, and (b) the weight of the car is 1.08 x 104 N.

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  1. 15 November, 10:50
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    (a) : The power required to accelerate the car is F = 2756.12 N.

    (b) : The power required to accelerate the car is F = 3603.67 N.

    Explanation:

    V = 27.2 m/s

    Vi = 0 m/s

    t = 8.3 s

    g = 9.8 m/s²

    W1 = 8.26 * 10³ N

    W2 = 1.08 * 10⁴ N

    a = (V-Vi) / t

    a = 3.27 m/s²

    m1 = W1/g

    m1 = 842.85 kg

    m2 = W2/g

    m2 = 1102.04 kg

    F = mi*a

    F1 = 2756.12 N (a)

    F2 = 3603.67 N (b)
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