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2 August, 23:24

One way to force air into an unconscious person's lungs is to squeeze on a balloon appropriately connected to the subject. What force must you exert on the balloon with your hands to create a gauge pressure of 4.00 cm water, assuming you squeeze on an effective area of 50.0 cm^2?

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  1. 3 August, 00:22
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    The force that you must exert on the balloon is 1.96 N

    Explanation:

    Given;

    height of water, h = 4.00 cm = 4 x 10⁻² m

    effective area, A = 50.0 cm² = 50 x 10⁻⁴ m²

    density of water, ρ = 1 x 10³ kg/m³

    Gauge pressure of the balloon is calculated as;

    P = ρgh

    where;

    ρ is density of water

    g is acceleration due to gravity

    h is height of water

    P = 1 x 10³ x 9.8 x 4 x 10⁻²

    P = 392 N/m²

    The force exerted on the balloon is calculated as;

    F = PA

    where;

    P is pressure of the balloon

    A is the effective area

    F = 392 x 50 x 10⁻⁴

    F = 1.96 N

    Therefore, the force that you must exert on the balloon is 1.96 N
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