Mathematics (AS & A Level) · May / June 2021 · Paper 41 · Question 7

30Å P 35 kg 2.5 m A slide in a playground descends at a constant angle of 30Å for 2.5 m. It then has a horizontal section in the same vertical plane as the sloping section. A child of mass 35 kg, modelled as a particle P, starts from rest at the top of the slide and slides straight down the sloping section. She then continues along the horizontal section until she comes to rest (see diagram). There is no instantaneous change in speed when the child goes from the sloping section to the horizontal section. The child experiences a resistance force on the horizontal section of the slide, and the work done against the resistance force on the horizontal section of the slide is 250 J per metre.

Read automatically from the paper; the printed page above is exact.