A lift has mass 1000 kg. The greatest safe tension in its cable is 18000 N. The average mass of a passenger is 62 kg. The lift accelerates vertically upwards at 0.5 m s−2^{-2}−2. Take g=9.8g=9.8g=9.8 m s−2^{-2}−2.
Find the greatest number of passengers that the lift can safely carry.