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RichardCash
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Homework Statement
A cube, with a volume of 0.78 m3 is submerged in a swimming pool. What is the buoyant force acting on the object if it has a mass of 328 kg?
To calculate the buoyant force on a cube, you need to know the density of the fluid the cube is submerged in, the volume of the cube, and the acceleration due to gravity. The buoyant force can be calculated using the formula Fb = ρvg, where ρ is the density of the fluid, v is the volume of the cube, and g is the acceleration due to gravity.
The buoyant force on a cube is the upward force exerted by a fluid on the cube when it is submerged. This force helps objects float and is responsible for the upward movement of objects that are less dense than the fluid they are submerged in.
The size of the cube affects the buoyant force because it determines the volume of the cube. The larger the cube, the greater the volume and therefore the greater the buoyant force. However, the density of the cube and the fluid it is submerged in also play a role in determining the buoyant force.
Yes, the buoyant force on a cube can change. It is dependent on the density of the fluid, the volume of the cube, and the acceleration due to gravity. If any of these factors change, the buoyant force will also change. For example, if the cube is submerged in a fluid with a higher density, the buoyant force will increase.
The buoyant force on a cube is directly related to Archimedes' Principle, which states that the buoyant force on an object is equal to the weight of the fluid it displaces. In other words, the buoyant force is equal to the weight of the fluid that would occupy the same volume as the submerged cube. This principle helps explain why objects float or sink in a fluid.