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4 June, 01:19

A platinum sphere with radius 0.0199 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*104 kg/m3 and 1.36*104 kg/m3, respectively.

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  1. 4 June, 01:28
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    Weight = 6.919 n

    Buoyant force = 4.397 N

    Apparent weight = 2.522 N

    Explanation:

    radius, r = 0.0199 m

    density of platinum = 2.14 x 1064 kg/m^3

    density of mercury = 1.36 x 1064 kg/m^3

    Weight of sphere = volume of sphere x density of platinum x g

    = 4/3 x 3.14 x (0.0199) ^3 x 2.14 x 10^4 x 9.8 = 6.919 N

    Buoyant force acting on sphere = Volume of sphere x density of mercury x g

    = 4/3 x 3.14 x (0.0199) ^3 x 1.36 x 10^4 x 9.8 = 4.397 N

    Apparent weight = True weight - Buoyant force = 6.919 - 4.397 = 2.522 N
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