the gravitational force exerted on a solid object is 5.00 n. when the object is suspended from a spring scale and submerged in water, the scale reads 3.50 n (fig. p14.11). find the density of the object

Respuesta :

Density of the object is 3333.33 kg/m³.

Density can be defined as the ratio of the mass of a body to its volume.

  • The SI unit of density is kg/m³.

From Archimedes principle,

Rd = W/U = D/D'

Where Rd = relative density,

W = weight of the object in air,

U = upthrust in water,

D = Density of the object,

D' = Density of water.

W/U = D/D'

Density (D) of the solid can be calculated by the equation,

D = D'(W/U)

As we have,

W = 5.0 N,

U = 5.0 -3.5 = 1.5 N,

D' = 1000 kg/m³

Since U = lost in weight = weight in air - weight in water

D = 1000(5/1.5)

D = 3333.33 kg/m³

Thus the density of the solid object is 3333.33 kg/m³

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