3. a) What is the Reynolds number of a 2-mm diameter plastic bead sinking in a test-tube fill with honey at 20C? (Express your answer in terms of speed v) phoney = 1400 kg/m and honey = 10 Pa s. [Answer in 3 significant figures] b) Determine the terminal speed of the plastic bead in the honey. Density of plastic = 0.925 g/cm. c) How long time for the bead to reach half of its terminal speed? d) How long does the bead takes to sink to the bottom of the test-tube? The honey has a depth of 1.0 cm. Take the initial speed of the bead 0 m/s at the surface of the honey.