2) (35 pts) D,m H of Similar to one of your experiments, you drop a solid sphere of diameter (D = 3 cm) and mass (m= 54

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2 35 Pts D M H Of Similar To One Of Your Experiments You Drop A Solid Sphere Of Diameter D 3 Cm And Mass M 54 1 (67.25 KiB) Viewed 15 times

2) (35 pts) D,m H of Similar to one of your experiments, you drop a solid sphere of diameter (D = 3 cm) and mass (m= 54 gram) from a height (H1 = 20cm) into a body of water density (p1 = 1000 kg/m3), viscosity (u1 = 0.001 Pa.s). The sphere hits the free surface and then entrains some air behind it to form a cavity. Upon cavity closure, a splash erupts into the air, and the sphere continues sinking deeper to attain a terminal steady velocity (V.)after some transitory time. Take earth's gravitational acceleration as 9.81 m/s2 P. Assuming that this same sphere is to be dropped on Saturn's moon Titan where the gravitation acceleration is 1.35 m/s2 in a liquid body of ethane with density and viscosity (p2 = 377 kg/m3.42 = 10-5 Pa.s.). (a) This part pertains to the impact and splashing phase. Assuming complete dynamic similarity between earth and Titan experiments and ignoring surface tension and viscous effects for this question: What should the drop height be for Titan (H2)? (15 pts] (b) For this part consider the same sphere above during its steady travel (terminal velocity). Compute the drag force experienced by the sphere on Titan in Newtons. [20 pts] Solution: