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Question

Physics Question on mechanical properties of fluid

A small spherical body of radius r and density ? moves with the terminal velocity v in a fluid of coefficient of viscosity η\eta and density σ\sigma. What will be the net force on the body ?

A

4π3r3(ρσ)g\frac{4\pi}{3}r^{3} \left(\rho-\sigma\right) g

B

6πηrv6\pi\eta rv

C

Zero

D

Infinity

Answer

Zero

Explanation

Solution

VterminalFnet=0V_{terminal} \Rightarrow F_{net} =0