Chapter 6, Problem 68P

By measuring oxygen uptake, sports physiologists have found that long-distance runners’ power output is given approximately by P = m(bv − c), where m and v are the runner’s mass and speed, and b and c are constants given by b = 4.27 J/kg· m and c = 1.83 W/kg. Determine the work done by a 54-kg runner who runs a 10-km race at 5.2 m/s.