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31 May, 08:32

It is generally a good idea to gain an understanding of the "size" of units. Consider the objects listed and calculate the magnitude of their momentum in SI units. A ladybug weighing 31.80 mg flies by your head at 2.53 mi/h.

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  1. 31 May, 08:34
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    The standard unit of momentum Is kgm/s

    And momentum is the product of mass and velocity

    Then,

    Momentum = mass * velocity

    P = mv

    Where

    m is mass in kg

    v is velocity in m/s

    Now,

    Given that,

    M = 31.8mg

    1mg = 10^-3g

    So, m = 31.8 * 10^-3g

    Also, 1000g = 1kg → 1g = 10^-3 kg

    So,

    m = 31.8 * 10^-3 * 10^-3kg

    m = 31.8 * 10^-6 kg

    v = 2.53mi/hr

    1mile = 1609.34 m

    1 hour = 3600seconds

    Then,

    v = 2.53 * 1609.34m / 3600s

    v = 1.13 m/s

    So, momentum is given as

    P = mv

    P = 31.8 * 10^-6 * 1.13

    P = 3.597 * 10^-5 kgm/s
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