A small, spherical bead of mass 3.00 g is released from rest at t 5 0 from a point under the surface of a viscous liquid. The terminal speed is observed to be vT 5 2.00 cm/s. Find (a) the value of the constant b that appears in Equation 6.2, (b) the time t at which the bead reaches 0.632vT, and (c) the value of the resistive force when the bead reaches terminal speed.

THE STRANGE NEW SCIENCE OF CHAOS ● Chaos = errors or deviations from expected results ○ Scientists try to minimize or eliminate it ● Linear system = the output is directly proportional to the input ● Examples of chaotic systems ○ Water bubbling down a stream ○ Smoke rising from a cigarette ○ Water dripping from a tap ○ The weather ○ Our nervous systems ● Chaotic systems are sensitive to initial conditions = a small change in the starting condition leads to a big change in the result ● Weather is hard to predict ○ The turbulent atmosphere cannot be described by simple linear equations ● Attractor = a preferred state towards which a chaotic system may tend ● Turbulence = much of the