Jake asked in Science & MathematicsPhysics · 3 years ago

Rectangle with a width of 1.2m and a length of 2.4m is submerged in mercury. bottom of the rectange is 5m below the surface. find : Force?

1 Answer

  • NCS
    Lv 7
    3 years ago
    Favorite Answer

    Find what force? If the rectangle is oriented horizontally in the mercury and is rather thin, then the force on both the top and bottom surface of the rectangle is

    F = 13.6 * 1000kg/m³ * 9.8m/s² * 5m * 1.2m * 2.4m = 1.9e6 N

    But if the rectangle is "standing tall" in the fluid, then the pressure at the top of the rectangle is

    p = 13600kg/m³ * 9.8m/s² * 2.6m = 3.465e5 Pa

    and at the bottom is

    p' = 13600kg/m³ * 9.8m/s² * 5m = 6.664e5 Pa

    and so the total force on each vertical face is

    F = ½(p + p')A = ½(3.465 + 6.664)e5Pa * 1.2m * 2.4m = 1.46e6 N

    Hope this helps!

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