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Home » 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 ?
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 ?
CBSE | Class 11 | Mechanical Properties of Fluids | NCERT | Physics
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 ?

Answer :

The pressure and hence the force applied on the two vessels will be the same because the base area is the same. When the walls of the vessel are not perpendicular to the base, force is also applied to them, which has a nonvertical component. The net non-vertical component on the sides of the second vessel is lower than that of the first. As a result, although having the same force on the base, the vessels have different weights.

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