Q14 of 24 Page 74

A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass M and density ρ is suspended by a massless spring of spring constant k. This block is submerged inside into the water in the vessel. What is the reading of the scale?



In the above given case, a vessel filled with water is kept on a weighing pan and the scale is adjusted to zero. Then, a block is suspended by a spring and submerged into the water.


The net force on the block zero as it is in equilibrium and it is given by,


, where x is the compression of the spring.


The reading of the scale as a result of this is the buoyant force on the block due to the water. This force is given by,



Since, the scale is adjusted to zero before the block is suspended into the vessel, the new reading is,



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