Alexander, who weighs 198 lb, decides to climb Mt. Krumpett, which is 5560 m hig

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?

Explanation / Answer

weight of Alexander = 198 lb , 1 lb =0.4535 kg, 198 lb= 198*0.4535= 89.79 kg

potential energy required for climbing = mgh= 89.79*9.8*5560 =4892478 joules= 4924278*0.000239 KCal=1169 KCal

the enegy on the return= 1159 kcal, total energy= 1169+1169= 2338KCal

total calories in 100 gm bar= 10*9(fat)+ 40*4+50*4 = 450 cal =0.45 KCal

number of bars required = 2338/0.45 =5196

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