A vessel filled with water is kept on a weighing pan and the scale adjusted to zero. A block of mass M and density \rho 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?

Answers (1)

The given figure has a beaker filled with water. The beaker has been placed on a weighing scale which is adjusted to zero.

As we submerge the block into the water, a force equal to the weight of the block acts upward in the form of a buoyant force. So, the downward force applied by the block equals to V Pw g

V = the water volume which is displaced by the block

Pw = density of water

Mass of block = M = V

V=\frac{M}{p}

So, the reading on the weighing scale reads:

\frac{M}{p}. p_w g = \frac{p_w}{p}Mg

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