Halliday, Resnick & Walker — Kinetic Energy and Work: Problem 13

A luge and its rider, with a total mass of 85 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 37 m/s. If a force slows them to a stop at a constant rate of \(2.0 \text{ m/s}^2\), (a) what magnitude \(F\) is required for the force, (b) what distance \(d\) do they travel while slowing, and (c) what work \(W\) is done on them by the force? What are (d) \(F\), (e) \(d\), and (f) \(W\) if they, instead, slow at \(4.0 \text{ m/s}^2\)?