A body weighing 14N in air is partially immersed in water. If the mass of water displaced in the process is 200g, calculate the upthrust on the body. [g=10\...

A body weighing 14N in air is partially immersed in water. If the mass of water displaced in the process is 200g, calculate the upthrust on the body. [g=10\(m/s^{2}\)]

Answer Details

The upthrust on an object partially or fully immersed in a fluid is equal to the weight of the fluid displaced by the object. This is known as Archimedes' principle. In this case, the mass of water displaced by the object is given as 200g, which is equivalent to 0.2kg (since 1kg = 1000g). To calculate the weight of the water displaced, we need to multiply the mass by the acceleration due to gravity, g, which is given as 10m/s² in the question. Therefore, weight of water displaced = 0.2kg x 10m/s² = 2N Since the upthrust on the object is equal to the weight of the water displaced, the upthrust on the object is 2N. Hence, the answer is option (A) 2.0N.