Question

show that for a floating object, the weight of the object is equal to the weight of water displaced by it.

Answer 1

Here is an experimental solution–
● Take a measuring cylinder and with water in a way that it is just enough to float.
● Note the reading before placing the object in it.
● Place the object and take the final reading.
● Take the difference of these two readings. This difference will give the volume of water displaced.
● Calculate the mass of displaced water using Mass = Volume×Density.
● Multiply this mass with acceleration due to gravity. This will give you weight.
● Take a spring balance, and calculate the weight of object.
● Now, verify whether these two weights are equal or not.
● They will be equal and hence it will be proved that weight of floating object is equal to the weight of water it displaces.

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