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29 April, 07:28

A platinum sphere with radius 0.0165 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14 * 10 4 kg/m3 and 1.36 * 10 4 kg/m3, respectively.

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  1. 29 April, 07:35
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    Weight = 3.924 N

    Bouyant force = 2.5N

    Apperent weight = 1.424N

    Explanation:

    Radius of the sphere = 0.0165 m

    Volume of sphere = (4πr³) / 3

    Volume = 4.189 * (4.49*10^-6)

    Volume = 1.88*10^-5

    For the weight.

    Mass = density * volume

    Mass = 2.14*10^4 * (1.88*10^5)

    Mass = 0.4 kg.

    Weight = mass * acceleration due to gravity

    Weight = 0.4*9.81

    Weight = 3.924 N

    For the buoyant force Fb

    Fb = volume * density of fluid * acceleration

    Fb = (1.88*10^5) * 1.36 * 10^ 4*9.81

    Fb = 2.5N

    For Apperent weight

    True weight - buoyant force = Apperent weight.

    3.924 - 2.5N = 1.424N
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