__Question 10.23__:
Two
vessels have the same base area but different shapes. The first
vessel takes twice the volume of water that the second vessel
requires to fill upto a particular common height. Is the force
exerted by the water on the base of the vessel the same in the two
cases? If so, why do the vessels filled with water to that same
height give different readings on a weighing scale?

__Solution__:

Two
vessels having the same base area have identical force and equal
pressure acting on their common base area. Since the shapes of the
two vessels are different, the force exerted on the sides of the
vessels has non-zero vertical components. When these vertical
components are added, the total force on one vessel comes out to be
greater than that on the other vessel. Hence, when these vessels are
filled with water to the same height, they give different readings on
a weighing scale.

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