The engine of a locomotive exerts a constant force of 6.5 105 N to accelerate a train to 90 km/h. Determine the time taken for the train of mass 1.8 107 kg to reach this speed from rest.

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  1. 6.5 * 10^5 I expect you mean and 1.8*10^7

    F = m a
    6.5 * 10^5 = 1.8*10^7 a

    a = 3.61*10^-2 m/s^2

    90 km/h (1 h/3600s)(1000 m/km)
    = 25 m/s

    v = a t
    25 = 3.61*10^-2 t

    t = 6.93 *10^2 s = 693 s = 11.5 min

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