Question

Alexander, who weighs 198 lb, decides to climb Mt. Krumpett, which is 5560 m high. For his food supply, he decides to take nutrition bars. The label on the bars states that each 100-g bar contains 10 g of fat, 40 g of protein, and 50 One gram of fat contains 9 Calories, whereas each gram of protein and carbohydrates contains 4 Calories. Alexander wants to know exactly how many bars to pack in his backpack for the journey. To provide a margin of safety, he assumes that he will need as much energy for the return trip as for the uphill climb. How many bars should Alexander pack?

Answer 1

weight of alexander = 198 lb

                                = 89.81 kg

work = m g h

        = 89.81 x 9.81 x 5560 x 10^-3

        = 4893.567 kJ

4893.567 kJ = 4893.567 / 4.18 kcal

                    = 1170.7 kcal

1 bar = 10 x 9 + 40 x 4 + 50 x 4 = 450 kcal

number of bars = 1170.7 450

number of bars = 2.60

for two trips = 2.60 x 2 = 5.20

number of bars = 5.2