Each of six barrels is filled to a height h above the bottom with a liquid of density p. each barrel has a hole of radius r in its side. the center of each hole is 20 cm above the barrel bottom. a plug in the hole keeps the liquid from escaping. rank the barrels in order of the force on the plug due to the liquid in the barrel, from largest to smallest. (a) r=1 cm, h=100 cm, p=1000 kg/m3
. (b) r=1 cm, h=120 cm, p=1000 kg/m3
. (c) r=1.25 cm, h=120 cm, p=800 kg/m3
. (d) r=1.25 cm, h=100 cm, p=800 kg/m3
. (e) r=1 cm, h=145 cm, p=1000 kg/m3
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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