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7 November, 16:39

The mass of the particles that a river can transport is proportional to the fifth power of the speed of the river. A certain river normally flows at a speed of 3 miles per hour. What must its speed be in order to transport particles that are 16 times as massive as usual

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  1. 7 November, 17:53
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    Answer: V = 5.22m/s

    Step-by-step explanation:

    Given that the mass of the particles is proportional to the fifth power of the speed. That is

    M = k V^5

    Where M = mass and V = speed

    K = constant of proportionality

    A certain river normally flows at a speed of 3 miles per hour

    V = 3 mph

    M = unknown

    M = k * 3^5

    M = 243K

    K = M/243 ... (1)

    What must its speed be in order to transport particles that are 16 times as massive as usual

    M = 16M

    Using same formula

    I. e M = KV^5

    16M = M/243 * V^5

    M will cancel out

    16 = V^5/243

    V^5 = 3888

    V = 5.22m/s
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