When a solid sphere moves through a liquid, the liquid opposes the mot

1.	When a solid sphere moves through a liquid, the liquid opposes the motion with a force F. The magnitude of F depends on the coefficient of viscosity η of the liquid, the radius r of the sphere and the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimensions. Use F = -ηA(v2−v1)x2−x1
Answer» When a solid sphere moves through a liquid, the liquid opposes the motion with a force F. The magnitude of F depends on the coefficient of viscosity $η$ of the liquid, the radius r of the sphere and the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimensions. Use F = - $\frac{η A (v_{2} - v_{1})}{x_{2} - x_{1}}$

When a solid sphere moves through a liquid, the liquid opposes the motion with a force F. The magnitude of F depends on the coefficient of viscosity η of the liquid, the radius r of the sphere and the speed v of the sphere. Assuming that F is proportional to different powers of these quantities, guess a formula for F using the method of dimensions. Use F = -ηA(v2−v1)x2−x1

Answer»

When a solid sphere moves through a liquid, the liquid opposes the motion with a force F. The

magnitude of F depends on the coefficient of viscosity $η$ of the liquid, the radius r of the sphere and the speed v of the sphere.

Assuming that F is proportional to different powers of these quantities, guess a formula for F using the

method of dimensions. Use F = - $\frac{η A (v_{2} - v_{1})}{x_{2} - x_{1}}$

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