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

no it doesn't depends upon orientation of surface

Answer 2

Area = 2 m².

Density of water = 1  g/cm³. = 1000 kg/m³.

Depth of the water = 500 m.

Now, Pressure = hρg

∴ Pressure = 500 × 1000 × 9.8

= 49 × 10⁵ Pa.

Now, Force =  Pressure × Area.

F = 49 × 10⁵ × 2

∴ F = 98 × 10⁵

∴ F = 9.8 × 10⁶ N.

Now, This force will remain the same irrespective of the orientation of the surface because the pressure at a point in the liquid is the same in all directions and acts perpendicular to the surface.

Hope it helps.