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# The drag force $F_D$ on the smooth sphere of fig. falling in a liquid depends on the constant sphere speed $V$, the solid density $\rho_s$, the liquid density $\rho$ and viscosity $\mu$, the sphere diameter $D$, and gravity $g$. Find an expression for $F_D$ using (a) the $M-L-T$ system, and (b) the $F-L-T$ system.

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### Information

In this exercise, we are asked to derive an expression for the drag force $F_D$ of a smooth sphere using the (a) M-L-T and (b) F-L-T system. The given variable parameters are listed below:

• $F_D$ - drag force
• $V$- speed
• $\rho_s$ - solid density
• $\rho$ - liquid density
• $\mu$ - liquid viscosity
• $D$ - diameter
• $g$ - gravity

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