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    Displacement of fluids when mass is submerged

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    1. A mass is hung on a scale and while hanging the mass is submerged in water. The scale read .45 kg when submerged. When the mass is submerged the water displaced is 100 cm^3. What is the magnitude of the mass?

    2. A car with windows closed floats in water when 50% submerged. If 1 m^3 of water seeps into the car it becomes totally submerged. What is the mass of the car?

    © BrainMass Inc. brainmass.com December 24, 2021, 7:54 pm ad1c9bdddf
    https://brainmass.com/physics/applied-physics/displacement-fluids-mass-submerged-227851

    SOLUTION This solution is FREE courtesy of BrainMass!

    1. 0.45 Kg = 450 g

    Weight in water(apparent weight) = actual weight - weight of water displaced(loss in weight)
    450 g = M - 100 g ... ( 100 cm^3 of water weighs 100g )
    M = 450 + 100
    = 550 g
    = 0.55 Kg
    The mass is 0.55 Kg.

    2. Floating bodies displace their own weight of liquid.

    Mass of car = Mass of water displaced
    = {50% of V}*density of water ... ( Volume of car V )
    = (V/2)*1000
    = 500 V Kg ............ (1)

    Mass of car + mass of water that seeped in = weight of water displaced by the car

    Mass of car + mass of water that seeped in = V*1000 ..... (V*1000 Kg is mass of water displaced)
    (applying again law of flotation i.e. floating body displaces its own weight of liquid )

    500V + 1000 = 1000V .... (1m^3 of water weighs 1000Kg) ....... {mass of car 500 V , from (1) }
    1000V - 500V = 1000
    500V = 1000
    V = 2 m^3
    Volume of car = 2 m^3

    Mass of car = 500 V ............. {from (1)}
    = 500*2
    = 1000 Kg

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:54 pm ad1c9bdddf>
    https://brainmass.com/physics/applied-physics/displacement-fluids-mass-submerged-227851

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