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30 April, 03:44

As a bacterium swims through water it propels itself with its flagella so as to overcome the frictional drag forces and move at, more or less, constant velocity of 100 micrometer/s for periods of time. If the frictional drag force on a bacterium is 0.1 N, how much work does the bacterium do in 1 s?

A) 1 milliJoule

B) 10 microJoule

C) 100 microJoule

D) 1 J

E) 100 milliJoule

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  1. 30 April, 04:04
    0
    B) 10 microJoule

    Explanation:

    Given

    v = 100 micrometer/s

    F = 0.1 N

    t = 1 s

    we get the displacement as follows

    d = v*t ⇒ d = (100 micrometer/s) * (1 s) = 100 micrometer

    then we apply the formula

    W = F*d*Cos ∅

    ⇒ W = (0.1 N) * (100 micrometer) * Cos 0°

    ⇒ W = 10 microJoule
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