Halliday, Resnick & Walker — Force and Motion-II: Problem 50

50 An 85.0 kg passenger is made to move along a circular path of radius \(r = 3.50 \text{ m}\) in uniform circular motion. (a) Figure 6-42a is a plot of the required magnitude \(F\) of the net centripetal force for a range of possible values of the passenger’s speed \(v\). What is the plot’s slope at \(v = 8.30 \text{ m/s}\)? (b) Figure 6-42b is a plot of \(F\) for a range of possible values of \(T\), the period of the motion. What is the plot’s slope at \(T = 2.50 \text{ s}\)?