A ball weighing 4 kg of density 4000 kg m–3 is completely immersed in water of density 103 kg m–3 Find the force of buoyancy on it. (Given g = 10 m s–2)

Answer:

The magnitude of the buoyant force given by F = Vpg

where

  • p = Density of water
  • V = volume of water displaced by the body
  • g = The gravity

∴ Given

  • Mass of a ball = 4 kg
  • Density = 4000 kgm-3

Volume of the solid = Mass/Density

Volume of the solid = 4/4000

Volume of the solid = 1/1000

Buoyancy F = Vpg

F = (1/1000) x 1000 × 10

F = 10N

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