Question

Find the force exerted by the water on a 2 m2 plane surface of a large stone placed at the bottom of a sea 500 m deep. Does the force depend on the orientation of the surface?

Answer 1

Force is independent of orientation .

Explanation:

Step 1:

Given , Area $A=2 m^{2}$

         Depth  $\mathrm{h}=500 \mathrm{m}$

         Density  $\rho=1000$ (density of water)

         Pressure is given as (according to Pascal’s law)

                $\mathrm{P}=\rho g h$

Step 2:

Where $\rho$ =density of water

                $g$ = acceleration due to gravity

                $h$= depth from the surface of water

         $\mathrm{p}=1000 \times 10 \times 50$

         $P=5 \times 10^{6} P a$

         $\text { Pressure }=\frac{\text {force}}{\text {area}}$

Step 3:

By cross multiplication we get the force

         $\text { Force }=5 \times 10^{6} \times 2$

    $\mathrm{F}=10^{7} \mathrm{N}$

No the force does not change with orientation.