Question

# A ball weighing 4 kg of density 4000 kg m−3 is completely immersed in water of density 1000 kg m−3. Find the force of buoyancy on it. ( Given g=10 m s−2)

A
100 N
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B
1 N
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C
20 N
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D
10 N
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Solution

## The correct option is C 10 NAnswer is D.Buoyancy force can be calculated with the equation Fb=Vs×D×g, where Fb is the buoyancy force, Vs is the submerged volume, D is the density of the fluid the object is submerged in, and g is the force of gravity. In this case, the weight of the ball is 4 kg and the density of the ball is 4000kg/m3. Therefore the volume is given as V=md=44000m3. Substituting the given values in the equation, we get,Fb=VsDg=44000m3×1000 kg/m3×10m/s2=10 N.Hence, the force of buoyancy is 10 N.

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