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.LUm/my Senev Assignment#7 Chapter5 ± Nutritional Energy ± Nutritional Energy Al

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Question

.LUm/my Senev Assignment#7 Chapter5 ± Nutritional Energy ± Nutritional Energy Alexander, who weighs 150 lb, decides to climb Mt. Krumpett, which is 5410 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 b3thh 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 Calories per gram 9. Nutrition facts Fat Protein Carbohydrates St

Explanation / Answer

Weight = 150 lb

1 lb = 0.453592 kg

So, Wight = 150 * 0.453592 Kg = 68.0388 Kg

Height = 5410 m

Gravitational force, g = 9.81 m/s2

So,

Energy required for uphil and downhill = 2 X mgh

=  2 * 68.0388 *  9.81 * 5410

= 7221924 Joules

Energy in One nutrition bar ( 100g ) = 10 * 9 + 40 * 4 + 50 * 4 = 450 Calories

1 Calorie = 4.184 Joules

So, Energy in One nutrition bar ( 100g ) = 450 *  4.184 Joules = 1882.8 Joules

Therefore, no of nutrition bars required = 7221924 / 1882.8 = 3835.73

So, rounding to 2 significant figures = 3800 nutition bars.