The energy needed to overcome gravity is
Eg = mgy
m = (159 lbs)(2.20kg/lb) = 72.3kg
g = 9.8 N/kg
y = (5460ft)(12in/ft)(0.02536m/in) = 1662m
Substituting into the formula, you get the energy needed to climb to the top in joules.
Dividing joules by 4.18 gives you calories.
Dividing calories by 1000 gives you kilocalories, kcal.
1 kcal = 1 food calorie.
Look up the calorie equivalents for 1 gram of carbohydrate, 1g of fat, and 1 g protein. Use them to get the calorie value of each nutrition bar. This should give you a start.
Alexander, who weighs 159lbs , decides to climb Mt. Krumpett, which is 5460ft high. For his food supply, he decides to take nutrition bars. The label on the bars states that each 100g bar contains 10g of fat, 40g of protein, and 50g of carbohydrates.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?
How would I even go about solving this problem? The total calories is 450 for a total bar that I calculated, is this right?
I am getting 22.6, but it says that is the wrong answer.
450*2000*4.18=3762000
159*5460*9.8=8507772
I am setting them equal to eachother and getting 2.26, but it says the answer is wrong. Please help.
3 answers
1234
GK, you're very first calculation is incorrect. You divided 159 by 2.2. If there are 2.2 kg PER pound, you would multiply the pounds by the factor conversion to kg.
2 answers