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A spherical ball of radius r and density...

A spherical ball of radius r and density d is dropped from rest in a viscous fluid having density `rho` and coefficient of viscosity `eta`.
(a) Calculate the power `(P_(1))` of gravitational force acting on the ball at a time t after it is dropped. (b) Calculate the rate of heat generation `(P_(2))` due to rubbing of fluid molecules with the ball, at time t after it is dropped. (c) How do `P_(1)` and `P_(2)` change if the radius of the ball were doubled? (d) Find `P_(1)` and `P_(2)` when both become equal.

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