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27 September, 22:57

A 50-kg sprinter accelerates from 0 to 11 m/s in 3.0 s. What is the power output for this rapid start?

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  1. 27 September, 22:59
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    1008.33 W.

    Explanation:

    Power: This can be defined as the rate at which energy is consumed or dissipated. The S. I unit of power is Watt (W).

    P = E/t ... Equation 1

    Where P = Energy, E = Energy, t = time.

    But from the question,

    E = 1/2mΔv² ... Equation 2

    where m = mass of the sprinter, Δv = change in velocity of the sprinter = final velocity - initial velocity.

    Substitute equation 2 into equation 1

    P = 1/2mΔv/t ... Equation 3

    Given: m = 50 kg, Δv = 11-0 = 11 m/s, t = 3.0 s.

    Substitute into equation 3

    P = 1/2 (50) (11) ²/3

    P = 25 (121) / 3

    P = 1008.33 W.

    Thus the power output = 1008.33 W.
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