an object weights 0.250 kgf in air 0.150 in water and 0.125 in an oil.find out the density of the object and the oil​

Question

an object weights 0.250 kgf in air 0.150 in water and 0.125 in an oil.find out the density of the object and the oil​

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Delwyn 6 months 2021-08-11T10:13:00+00:00 1 Answers 5 views 0

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    2021-08-11T10:14:06+00:00

    Answer:

    1) The density of the object = 2500 kg/m³

    2) The density of the oil = 1250 kg/m³

    Explanation:

    1) The information relating to the question are;

    The mass of the object in air = 0.250 kgf

    The mass of the object in water = 0.150 kgf

    The mass of the object in the oil  = 0.125 kgf

    By Archimedes’s principle, we have;

    The upthrust on the object in water = Mass in air – mass in water = The weight of the water displaced

    The upthrust on the object in water = 0.250 – 0.150 = 0.1 kgf

    ∴ The weight of the water displaced = 0.1 kgf

    Given that the object is completely immersed in the water, we have;

    The volume of the water displaced = The volume of the object

    The volume of 0.1 kg of water water displaced = Mass of the water/(Density of water)

    The volume of 0.1 kg of water = 0.1/1000 = 0.0001 m³

    The density of the object = (Mass in air)/ volume = 0.250/0.0001 = 2500 kg/m³

    The density of the object = 2500 kg/m³

    2) Whereby the mass of the object in the oil = 0.125 kgf

    The upthrust of the oil = The weight of the oil displaced

    The upthrust of the oil on the object = Mass of the object in air – mass of the object in the oil

    The upthrust of the oil on the object = 0.250 – 0.125 = 0.125 kgf

    The weight of the oil displaced = The upthrust of the oil

    Given that the volume of the oil displaced = The volume of the oil, we have;

    The volume of the oil displaced = 0.0001 m³

    The mass of the 0.0001 m³ = 0.125 kg

    Therefore the density of the oil = 0.125/0.0001 = 1250 kg/m³.

    The density of the oil = 1250 kg/m³.

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