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1) stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. particles in liquids achieve terminal velocity quickly. one can measure the time it takes for a particle to fall a certain distance and then use stokes' law to calculate the viscosity of the liquid. suppose a steel ball bearing (density 7.8 ✕ 103 kg/m3, diameter 2.0 mm) is dropped in a container of motor oil. it takes 16 s to fall a distance of 0.80 m. calculate the viscosity (in kg/(m·s)) of the oil.
2) calculate the maximum deceleration (in m/s2) of a car that is heading down a 10° slope (one that makes an angle of 10° with the horizontal) under the following road conditions. you may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involved—that is, the tires are not allowed to slip during the deceleration.
(a) on dry concrete m/s2
(b) on wet concrete m/s2
(c) on ice, assuming that µs = 0.100, the same as for shoes on ice m/s2