Aplatinum sphere with radius 0.0135 0.0135 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 2.14×104 kg/m3 and 1.36 × 10 4 1.36×104 kg/m3, respectively.

W=2.2 N

F=1.4 N

W'=0.8 N

Explanation:

Given that

Radius ,r = 0.0135 m

Density of the platinum ,ρ₁ = 2.14 x 10⁴ kg/m³

Density of the mercury ,ρ₂ = 1.36  x 10⁴ kg/m³

The weight of the sphere

W= m g

mass = m = volume x density

m = 0.22 kg

W= 0.22 x 10 = 2.2 N   (↓)           ( take g =10 m/s²)

The buoyant force

F= 1.4 N  (↑)

The  apparent weight

W' = 2.2 - 1.4 N

W'= 0.8 N

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