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3 October, 14:53

The neck and bottom of a bottle are 0.5cm and 0.4cm respectively. If the cork in the neck is pressed with a force of 1kgwt and the bottle is full of oil. What is the force in te bottom due to the load

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  1. 3 October, 15:10
    0
    0.64 kgwt

    Explanation:

    You should check that the diameters of the neck and bottom are correct. That is a very small bottle, and the neck shouldn't be bigger than the bottom.

    The pressure on the cork = the pressure on the bottom

    P₁ = P₂

    F₁ / A₁ = F₂ / A₂

    F₁ / (π r₁²) = F₂ / (π r₂²)

    F₁ / r₁² = F₂ / r₂²

    (1 kgwt) / (0.5 cm) ² = F / (0.4 cm) ²

    F = 0.64 kgwt

    Round as needed.
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