Question

Alexander, who weighs 201 lb , decides to climb Mt. Krumpett, which is 5700 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. One gram of fat contains 9 Calories, whereas each gram of protein and carbohydrates contains 4 Calories. Nutrition facts Calories per gram Fat 9 Protein 4 Carbohydrates 4 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 return trip as for the uphill climb. How many bars should Alexander pack?

Answer #1

Mass of Alexander = 201 lb x 1kg/(2.20462 lb)

= 91.2 kg

Work done by Alexander = force x distance

= mass x g x height

= 91.2 kg x 9.81 m/s2 x 5700 m

= 5099630.4 J x 1kJ/1000 J

= 5099.63 kJ

Calories required = 5099.63 kJ x 1kcal/4.184kJ

= 1218.84 kcal

For the return trip and uphill climbing

Total Calories required = 2 x 1218.84 = 2437.68 kcal

1 Calories = 1 kcal

kcal per bar = (9kcal/gfat x 10gfat) + (4kcal/gprotein x 40g protein) + (4kcal/gcarb x 50gcarb)

= 90 + 160 + 200

= 450 kcal

Number of bars required = 2437.68 kcal / 450 kcal

= 5.42

Alexander, who weighs 162 lb , decides to climb Mt. Krumpett,
which is 5350 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.
One gram of fat contains 9 Calories, whereas each gram of protein
and carbohydrates contains 4 Calories. Nutrition facts: (Calories
per gram) Fat 9g, Protein 4g, Carbohydrates 4g.
Part A...

Alexander, who weighs 198 lb , decides to
climb Mt. Krumpett, which is 5550 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.
One gram of fat contains 9 Calories, whereas each gram of
protein and carbohydrates contains 4 Calories.
Nutrition facts
Calories per gram
Fat
9
Protein
4
Carbohydrates
4
Part A...

Alexander, who weighs 174 lb , decides to climb Mt. Krumpett,
which is 5500 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.
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...

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