show that the pressure exerted by fluid at rest is independent of the shape of the container
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Explanation:
if an object is at rest, then acc. to newtons law resultant force=zero
consider a column of fluid above that point,
pressure=force/area
force=mass×acceleration
- here acceleration=g
- mass=density×height of the fluid column above that point×area
substitute these values in p=f/a formula.
p=density×h×a×g÷a
p=density×h×g
this is the formula for pressure at a point in a fluid in any container. here density,h and g will not change according to container. only area will change but u dont have area in the final formula. so pressure exerted by fluid at rest is independent of the shape of the container.
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