First slide

Fluid statics

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

Easy

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, V = volume of liquid displaced But for free fall a = g $∴$ Upthrust = 0

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