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26 June, 21:14

A metal object is suspended from a spring scale. The scale reads 943 N when the object is suspended in air, and 799 N when the object is completely submerged in water.

a. Find the volume of the object. The acceleration of gravity is 9.8 m/s². Answer in units of m³.

b. Find the density of the metal. Answer in units of kg/m³.

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  1. 26 June, 22:45
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    a) Volume of object is 0.015 m³b) Density of metal is 6408.43 kg/m³

    Explanation:

    a) Buoyancy force = Volume x Density of fluid x Acceleration due to gravity

    Buoyancy force = Weight in air - Weight in water

    Buoyancy force = 943 - 799

    Buoyancy force = 144 N

    Volume x Density of water x Acceleration due to gravity = 144

    V x 1000 x 9.81 = 144

    V = 0.015 m³

    Volume of object is 0.015 m³

    b) Weight of metal = 943 N

    Mass of metal x Acceleration due to gravity = 943

    Mass of metal = 96.13 kg

    Volume of metal = 0.015 m³

    Density of metal = Mass of metal : Volume of metal

    Density of metal = 96.13 : 0.015

    Density of metal = 6408.43 kg/m³
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