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The up thrust on a body immersed in a fluid is equal to the

Question

The up thrust on a body immersed in a fluid is equal to the

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Solution

The upthrust (also known as buoyant force) on a body immersed in a fluid is equal to the weight of the fluid displaced by the body. This principle is known as Archimedes' principle.

Here are the steps to understand this:

  1. When a body is immersed in a fluid, it experiences an upward force. This is because the pressure at the bottom of the body is greater than the pressure at the top, due to the weight of the fluid above.

  2. This upward force is called the upthrust or buoyant force.

  3. According to Archimedes' principle, the upthrust on the body is equal to the weight of the fluid displaced by the body.

  4. The weight of the fluid displaced can be found by multiplying the volume of the body (which is equal to the volume of the fluid displaced) by the density of the fluid, and then by the acceleration due to gravity.

So, Upthrust (Buoyant force) = Weight of fluid displaced = Volume of body x Density of fluid x Acceleration due to gravity.

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