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3 November, 03:03

An object of mass 1000 kg, initially having a velocity of 100 m/s, decelerates to a final velocity of 20 m/s. what is the change in kinetic energy of the object, in kj?

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  1. 3 November, 03:10
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    M = 1000 kg

    v_in = 100 m/s

    v_f = 20 m/s

    delta KE = 1/2 m (v_in) ^2 - 1/2 m * (v_f) ^2

    delta KE = 1/2 1000 (100 m/s) ^2 - 1/2 1000 (20 m/s) ^2

    delta KE = 1/2 1000 [ 10000 m^2/s^2 - 400 m^2/s^2

    delta KE = 500 * 9600 m^2/s^2

    delta KE = 4800000 Joules or 4800 kJ

    Note: you could do this without taking out 1/2 1000 as a common factor in both terms. You would get exactly the same answer. Perhaps that is how I should have done it.
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