Damping **
A particle with mass m and initial speed V is subject to a velocity-dependent damping force of the form bvn.
(a) For n=0,1,2,…, determine how the stopping time depends on m, V, and b.
(b) For n=0,1,2,…, determine how the stopping distance depends on m, V, and b.
Be careful! See if your answers make sense. Dimensional analysis gives the answer only up to a numerical factor. This is a tricky problem, so don't let it discourage you from using dimensional analysis. Most applications of dimensional analysis are quite straightforward.