Question

An iron ball of mass 5 kg and density 5000 kg m−3 is completely immersed in water. Calculate the buoyant force acting on the ball. (Given, Density of water = 1000 kg/m3 and g = 10 m/s2)

Answer 1

Mass of ball m = 5kg

Density of ball ρ = 5000 kg/m3

Volume of the ball V = m/ρ = 5/5000 m3 = 10-3 m3.

Buoyant force or upthrust acting on the ball

                   = Volume of water displaced x density of water x acceleration due to gravity

                   = 10-3 m3 x 1000 kg/m3 x 9.8 m/s2

                   = 9.8 kg. m/s2

                   = 9.8 N.

Answer 2

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Mass of ball m = 4 kg Density of ball ρ = 4000 kg/m3 Volume of the ball V = m/ρ = 4/4000 m3 = 10-3 m3. Buoyant force or upthrust acting on the ball = Volume of water displaced x density of water x acceleration due to gravity = 10-3 m3 x 1000 kg/m3 x 9.8 m/s2 = 9.8 kg. m/s2 = 9.8 N.