Ahelium-filled blimp stays aloft since helium is less dense than regular air, so helium will rise above regular air. the density of helium is about 1.1kg/m^3 less than regular air, which means a cubic meter of helium can lift about 1.1kg. a blimp with a mass of 2.13 x 10^5kg can carry as much as 2 x 10^5m^3 of helium. if the average mass of a person with luggage is 10^2kg what is the number of passengers the blimp can carry

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