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**Ideasman** We are given that the friction force that is necessary to prevent a car from skidding on a curve is represented by F_s(t) = m*a_(N)*N(t). In the following problems, find the friction force that is necessary in order to keep a car of a mass of m = 100 (slugs) from skiddiing.

1.)

a.) r(t) = <100*cos(Pi*t), 100*sin(Pi*t)>

b.) r(t) = <100*cos(2*Pi*t), 100*sin(2*Pi*t)>

2.) Based on the results from 1 and 2 above, how does this required force change when we are given that the speed of some car on a curve is doubled?