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± Nutritional Energy Part A Alexander wants to know exactly how many bars to pac

ID: 543455 • Letter: #

Question

± Nutritional Energy Part A 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 returm trip as for the uphill climb How many bars should Alexander pack? Mt. Krumpett, which is 5680 m high. For his food supply, he decides to take nutrition bars. The label g of fat, 40 g of protein, and 50 g of carbohydrates One gram of fat contains 9 Calories, whereas each Enter the exact answer to two significant figures. Do not round to an integer Hints 1 10 bars 01 e My Answers Give Up

Explanation / Answer

183 lb = 183 * 0.4536 kg = 83 kg

work done = force * distance

force = mg = 83 * 9.81 = 814.23 N

workdone = 814.23 * 5680 = 4624.8 kj

1 calorie = 4.18 j

4624.8 kj = 4624.8 / 4..18 kcal = 1106.4 kcal

1 bar = 10*9 + 40*4 + 50*4 = 450 kcalories ( 1 calorie = 1 kcal)

number of bars to climb mountain = ( 1106.4 / 450) = 2.46

number for trip = 2.46^2 = 6.05 bars