will the pressure of the given column of remains same at all places of earth explain your answer
Answers
Answer:
Explanation:
Yes! Pressure at the same depth is equal and it transmitted in all directions.
This proof is conducted after considering Pascal's law holds true i.e. pressure exerted by any point in the fluid is equal in all directions.
Pressure = Force/Area
(multiplying by Length)
= Force×Length/Area×Length
(Since area×length =volume)
= Force×Length/Volume
(Since force=mass×acceleration)
= Mass×Acceleration×Length/Volume
(Since mass/volume = density)
= Density×Acceleration×Length
(Since acceleration is due to gravity)
Pressure=Density×a(due to gravity)×Height
or P=pgh
(Since density and gravity are constant for a particular fluid)
Pressure directly depends on height and for equal height a particular fluid exerts equal pressure.
hence proved