Answer :
Final answer:
The buoyant force acting on the ball is calculated by applying Archimedes' Principle and the formula for weight. The force equals to the product of the density of water, volume of the ball, and the acceleration due to gravity.
Explanation:
To calculate the buoyant force on the ball, we first need to determine the volume of the ball, which is given by the mass divided by the density. In this case, the volume is 4 kg / 400 kg/m³ = 0.01 m³. The amount of liquid displaced is equal to the volume of the object submerged, which in this case is the ball. According to Archimedes' Principle, the buoyant force equals to the weight of the water displaced, which is given by density x volume x gravity. Therefore, the buoyant force is 1030 kg/m³ x 0.01 m³ x g. Here, g is the acceleration due to gravity and is roughly 9.8 m/s².
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