A liquid of density 1210 kg/m3 flows steadily through a pipe of varying diameter and height. At Location 1 along the pipe, the flow speed is 9.33 m/s and the pipe diameter 1 is 10.1 cm. At Location 2, the pipe diameter 2 is 16.3 cm. At Location 1, the pipe is Δ=9.87 m higher than it is at Location 2. Ignoring viscosity, calculate the difference Δ between the fluid pressure at Location 2 and the fluid pressure at Location 1.

Amerry-go-round of radius r, shown in the figure, is rotating at constant angular speed. the friction in its bearings is so small that it can be ignored. a sandbag of mass m is dropped onto the merry-go-round, at a position designated by r. the sandbag does not slip or roll upon contact with the merry-go-round. how would you rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round from largest to smallest. a) m = 10kg, r = 0.25r b) m = 20kg, r = 0.25r c) m = 10kg, r = 0.50r d) m = 10kg, r = 1.0r e) m = 15kg, r = 0.75r f) m = 40kg, r = 0.25r