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A small spherical ball of mass m and radius R is dropped fromrest into a liquid of high viscosity ?, such as honey, tar, ormolasses.

A small spherical ball of mass m and radius R is dropped fromrest into a liquid of high viscosity ?, such as honey, tar, ormolasses. The only appreciable forces on it are gravity mg and alinear drag force given by Stokes’s law, FStokes =?6??Rv, where v is the ball’s velocity, and the minus signindicates that the drag force is opposite to the direction of v.(a) Find the velocity of the ball as a function of time. Then showthat your answer makes sense for (b) small times; (c) largetimes.

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