Constants I Part A Alexander, who weighs 171 lb, decides to climb Mt. Krumpett,
ID: 1080433 • Letter: C
Question
Constants I Part A Alexander, who weighs 171 lb, decides to climb Mt. Krumpett, which is 5890 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 g of carbohydrates Alexander wants to know exactly how many bars to pack in his backpack for the jouney 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? One gram of fat contains 9 Calories, whereas each gram of protein and carbohydrates contains 4 Calories Enter the exact answer to two significant figurg Do not round to an integer View Available Hint(s) Nutrition facts Fat Protein Carbohydrates Calories per gram bars Submit Reguest AnswerExplanation / Answer
mass of alexander = 171 lb = 198 x 0.4536 kg
= 77.56 kg
Work done = m g h
= 77.56 x 9.8 x 5890
= 4481.7 kJ
1 calorie = 4.18 J
4481.7 kJ = 1071.15 k cal
1 bar = 10 x 9 + 40 x 4 + 50 x 4 = 450 kcal. ( 1 Calorie = 1kcal)
Number of bars to climb mountain = (1071.15 / 450) = 2.38
for two trips = 2.38 x 2
= 4.76 bars