Answer:
Number of calories burned = 243.93
Explanation:
1 dietary calorie = 4184 Joules
Total stairs the fire fighter has to climb = 10 * 15 = 150
Total increase in height climbing 150 stairs = 10 * 150 = 1150 inches
Total increase in height climbing 150 stairs = 95.83 ft
Total mass of fire fighter and equipment = 245 lb
Total work done = change in Gravitational potential energy
Total work done = mass * gravity * height
Total work done = 245 * 32.2 * 95.83 = 756002.9 foot-pound of energy
Converting this into joules we get: 756002.9 * 1.35 = 1020603.9 Joules
Number of calories burned = Joules of work / joules in one calorie
Number of calories burned = 1020603.9 / 4184
Number of calories burned = 243.93
