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29 July, 21:00

You have a fish tank with a square 10 x 10 cm bottom surface. You fill it 9 cm deep with water. What is the force in N on the bottom plate of the tank due to the water (neglect atmospheric pressure)

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  1. 29 July, 21:02
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    F = 8.82 N

    the force in N on the bottom plate of the tank due to the water is 8.82 N

    Explanation:

    Force F = mass * acceleration

    F = ma

    In the case of weight;

    F = mg ... 1

    Where;

    m = mass

    g = acceleration due to gravity

    a = acceleration

    Mass m = density * volume

    m = dV ... 2

    Volume = cross sectional area * height

    V = Ah ... 3

    Substituting equation 3 to 2;

    m = dAh ... 4

    Substituting equation 4 to 1;

    F = dAhg ... 5

    Given;

    d = 1000 kg/m^3

    A = 10cm * 10cm = 100cm^2 = 0.01 m^2

    h = 9 cm = 0.09 m

    g = 9.8 m/s^2

    Substituting the given values into equation 5;

    F = 1000*0.01*0.09*9.8 N

    F = 8.82 N

    the force in N on the bottom plate of the tank due to the water is 8.82 N
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