First slide

Pressure in a fluid-mechanical properties of fluids

Question

A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is

Moderate

A

Zero
B

Equal to the weight of the liquid displaced
C

Equal to the weight of the body in air
D

Equal to the weight of the immersed position of the body

Solution

$Upthrust = V ρ_{liquid} (g - a)$
where a = downward acceleration and
V = volume of liquid displaced
But for free fall, a = g $\Rightarrow$ Upthrust = 0

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