Find the force exerted by the water on a 2 m ^2 plane surface of a large stone placed at the bottom of a sea 500 m deep.
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 ?
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2 Answers
The pressure of the water at 500 m depth
=1000*10*500 N/m² {Taking g =10 m/s²},
=5 x 10⁶ N/m²
Hence the force exerted by the water on the 2 m² of the stone
=2* 5 x 10⁶ N =10⁷ N
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.
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Answered
a) F = P × A = (h ρw × g) A
b) The force does not depend on the orientation of the rock as long as the surface area remains same.
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