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.
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.