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31 January, 17:55

Suppose that the resistive force of the air on a skydiver can be approximated by f = - bv2. If the terminal velocity of an 82.0 kg skydiver is 33.4 m/s, what is the value of b (in kg/m) ?

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  1. 31 January, 18:23
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    The value of b 0.7351 kg/m

    Explanation:

    Given that;

    Mass of sky diver = 82 kg

    Velocity = 33.4 m/s

    f = - bv²

    It is a resistance force, therefore the negative sign is ignored.

    since; f = mg

    ∴ mg = bv²

    b = mg / v ² ... (1)

    At terminal velocity a = 0

    Put parameters in (1)

    b = (82 * 10) / (33.4) ²

    b = 820 / 1,115.56

    b = 0.7351
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