\n When an object is immersed in a fluid, the fluid exerts an upward force on the object. This force is known as buoyant force, and this phenomenon is known as buoyancy. The magnitude of the bouyant force acting on an object depends on the density of the fluid and the volume of fluid displaced by the object.\r\n
\r\n\n Have you ever wondered why objects feel lighter when they are submerged in water? The object feels lighter due to effect of buoyancy. Let us explain.\r\n There are two force acting on an object when it is submerged in a liquid: One is the force due to gravity (\\(F_G\\)) and the other is the force due to buoyancy (\\(F_B\\)). These two forces act in\r\n opposite direction. As a result the force due to gravity (that causes weight) can be partially or completely cancelled by the force due to buoyancy. This is why objects weigh less when submersed in a liquid.\r\n
\r\n\n Let's consider a solid object with volume V and made of a material with density \\(\\rho_s\\). The object is submersed in a liquid with density \\(\\rho_f\\).\r\n The force acting on this object due to gravity is given as:\r\n $$F_G = \\rho_s g V$$\r\n where \\(\\rho_s\\) is the density of the solid object, \\(g \\) is the acceleration due to gravity and \\(V \\) is the volume of the object. Note that the force due to gravity acts downward.\r\n We will use Archimedes principle to calculate the magnitude of buoyant force acting on this object. According to Archimedes principle, the magnitude of\r\n the buoyant force is equal to the weight of the displaced liquid. Thus, we obtain:\r\n $$F_B = \\rho_f g V$$\r\n Note that the buoyant force acts upward.\r\n Now, we calculate the net downward force acting on the object.\r\n $$F_G - F_B = (\\rho_s -\\rho_f)Vg$$\r\n You can see that the net downward force action on the object is reduced due to buoyant force. This downward\r\n
\r\n\n The Archimedes principle states that the buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. Stated in simple terms — the buoyant force acting on an object can be calculated by assuming the submerged portion of the object is made of the fluid that the object is submerged in and then by calculating the weight of that mass of fluid. Expressed as an equation, the Archimedes principles reads as\r\n $$F_\\text{Buo} = \\rho_f g V_\\text{Sub}$$\r\n where \\(V_\\text{sub}\\) is the volume of the object submerged in the fluid.\r\n For an object of volume \\(V\\) that is completely submerged in a fluid, the Archimedes principle becomes\r\n $$F_\\text{Buo} = \\rho_f g V$$\r\n The Archimedes principle is valid for any fluid whether its a liquid (such as water) or a gas (such as air).\n
\r\nHave you ever noticed that an object feels lighter when it is submerged in water (or as a matter of fact in any fluid). This is a consequence of buoyancy. The weight of the object acts downward while the buoyant force due to the fluid acts upward. Thus, the weight of the object is opposed by the buoyant force exerted on it by the fluid — as a result the object feels lighter in water. By measuring the weight of the object inside and outside of the fluid, the buoyant force acting on the object can be measured. Through this interactive session, you will learn about —
\r\n\n Kettlebells are out of stock this year — courtesy of COVID-19.\r\n You are a fitness enthusiast and you really need a kettlebell for your daily exercise.\r\n One day a mysterious salesman shows up to your door. He has several expensive kettlebells to sell — each made of a different metal.\r\n Your job is to figure out what metal the kettlebell is made of, and if it is worth the asking price.\n
\r\n\n Follow the steps below to accomplish this task.\r\n