A ball of mass 4 kg of density 4000 kg/m3 is completely immersed in water of density 1000 kg/m3. Find the force of buoyancy on it (consider g = 10 m/s2)A 100 N B 20 N C 10 N D 1 N
Question
A ball of mass 4 kg of density 4000 kg/m3 is completely immersed in water of density 1000 kg/m3. Find the force of buoyancy on it (consider g = 10 m/s2)A 100 N B 20 N C 10 N D 1 N
Solution
The force of buoyancy can be calculated using Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object.
Step 1: Calculate the volume of the ball. The volume (V) of the ball can be calculated using the formula V = mass/density. So, V = 4 kg / 4000 kg/m^3 = 0.001 m^3.
Step 2: Calculate the weight of the water displaced by the ball. The weight of the water displaced is equal to the volume of the ball multiplied by the density of water and the acceleration due to gravity (g). So, weight = V * density of water * g = 0.001 m^3 * 1000 kg/m^3 * 10 m/s^2 = 10 N.
Therefore, the force of buoyancy on the ball is 10 N. So, the answer is C. 10 N.
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