Question

A 15-kg metallic cube with uniform density is immersed to a depth of 2.0 m in...

A 15-kg metallic cube with uniform density is immersed to a depth of 2.0 m in a lake. If a buoyant force of 49 N acts

on the cube, what is the density (in kg/m3) of the metal? Answer: 3000

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Answer #1

Given,

The mass, m = 15 kg

The buoyant force, FB = 49 N

The buoyant force on block = The weight of displaced water

FB = Wd

FB = Vw g ( V = m/)

FB = (m/m) * w * g

m = (m * w * g) / FB

= (15 * 1000 * 9.8) / 49

= 3000 kg/m3

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