Two vessels with equal base and unequal height have water filled to same height. The force at the base of the vessels is

Open in App

Solution

Force:
Force is defined as the rate of change of momentum.
Pressure is same is in all direction.
Pressure depends on the height of the column.
Pressure is independent of the shape of the container.
Explanation:
Pressure force is defined as the product of pressure and base area.
Since the base area is same and height of the fluid is same in the container. Thus, the Pressure is same.
Hence, the force at the base of the vessel is same.

Suggest Corrections

Similar questions

Q. 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 with equal base and unequal height have water filled to same height. The force at the base of the vessels is

Q. Two vessels A and B of different shapes have the same base area and are filled with water up to the same height h (see figure). The force exerted by water on the base is

F_{A}

for vessel A and

F_{B}

for vessel B. The respective weights of the water filled in vessels are

W_{A}

and

W_{B}

Then:

The three vessels shown in figure have same base area and equal height. Water is poured in three vessels until they overfill. The force on the base will be

Q. Two vessels A and B have same base area. Equal volumes of a liquid are poured in the two vessels to different heights

h_{A}

and

h_{B} (> h_{A})

.ln which vessel, the force on the base of vessel will be more.

Join BYJU'S Learning Program