A mountain climber gains 897 m in elevation on a particular hike. Consider the climber's body as a heat engine, with heat for work provided by burning food (the "hot reservoir") and excess heat radiated into the mountain air (the "cold reservoir").
(a) If her mass is 62.3 kg, how much work does she do changing her gravitational potential energy?
(b) If she radiates 1.67×105 J of heat during the climb, and her internal energy doesn't change, how much heat does the food supply?