A syphon is used to transfer water from a 8 m deep open tank filled with water using a hose of diameter 5 cm, that has one end placed in the tank at 5 m below the water surface in the tank. The hose exits the top of the tank to a height of 4 m above the water level then drops vertically downward so that its exit to the atmosphere is 1 m below the inlet to the hose in the tank. Determine the exit velocity (m/s) of the water from the syphon.

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