Question

A uniformly tapering vessel is filled with a liquid of density $900{\text{kg/m}}^3$. The force that acts on the base of the vessel due to the liquid (excluding atmospheric force) is : [Take $g=10{\text{m/s}}^2$]

• A. $3.6\text{N}$
• B. $7.2\text{N}$
• C. $9.0\text{N}$
• D. $12.6\text{N}$

Answer 1

The correct option is B $7.2\text{N}$

As we know,
$F=P\times$ Area of base
$F=\left(\rho gh\right)\times$ (Area of base)
$F=900\left({\text{kg/m}}^3\right)\times 10\left({\text{m/s}}^2\right)\times 0.4\left(\text{m}\right)\times 2\times {10}^{-3}{\text{m}}^2$
$\therefore F=7.2\text{N}$