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The pressure at the bottom of a full barrel of water is Poriginal . Determine what happens to the pressure when the radius or height of the barrel is changed and water is added to make the barrel full again.

User Betina
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1 Answer

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Answer:

a) P' = P_original, b) P ’= P_original + ρ g Δh

Step-by-step explanation:

The expression for nanometric pressure is

P = ρ g h

where ρ is the density of the liquid and h is the height

a) we change the radius of the barrel, but keeping the same height

as the pressure does not depend on the radius it remains the same

P' = P_original

b) We change the barrel height

h ’≠ h

we substitute in the equation

P ’= ρ g h’

h ’= h + Δh

P ’= ρ g (h + Δh)

P ’= (ρ g h) + ρ g Δh

P ’= P_original + ΔP

In this case, the pressure changes due to the new height,

*if it is higher than the initial one, the pressure increases

*if the height is less than the initial one, the pressure is less

User Sudeep
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