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Acceleration Due To Gravity

If a vessel c...

Question

If a vessel containing a fluid of density $ρ$ upto height h is accelerated vertically downwards with acceleration $a_{0}$ then the pressure by fluid at the bottom of vessel is:

P = P_{0} + ρ g h + ρ h a_{0}

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P = P_{0} + ρ g h

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P = P_{0} + ρ h (g - a_{0})

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P = P_{0} - ρ g h

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Solution

The correct option is A $P = P_{0} + ρ h (g - a_{0})$
Net acceleration downwards, experienced by the fluid = $g - a_{0}$
So, Pressure at the bottom while acceleration
$P = P_{0} + ρ g^{'} h$

$(P) = P_{0} + ρ (g - a_{0}) h$

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