When an object moves through a fluid, the fluid exerts a viscous force on the object that tends to slow it down. For a small sphere of radius R, moving slowly with a speed v, the magnitude of the viscous force is given by Stokes' law, F = 6??Rv, where ? is the viscosity of the fluid.

(a) What is the viscous force on a sphere of radius R = 4.90 10-4 m that is falling through water (? = 1.00 10-3 Pa · s) when the sphere has a speed of 3.4 m/s?

_____ N

(b) The speed of the falling sphere increases until the viscous force balances the weight of the sphere. Thereafter, no net force acts on the sphere, and it falls with a constant speed called the "terminal speed." If the sphere has a mass of 1.03 10-5 kg, what is its terminal speed?

_____ m/s