Alexander, who weighs 159 , decides to climb Mt. Krumpett, which is 5460 high. For his food supply, he decides to take nutrition bars. The label on the bars states that each 100- bar contains 10 of fat, 40 of protein, and 50 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 problem is silly, it assumes 100 percent efficiency in converting food energy to gravatational PE. On the other hand, it is going to ask you to forget about the loss of graviational PE on the trip down.
energy=2mgh
this is energy in joules, convert to calories.
Then, convert the fat protein and carbs to food calories, thence to real calories. solve for the number of bars.
Is it 450 calories I don't know what you mean by 2mgh
To solve this problem, we need to determine the total amount of energy Alexander will require for the climb and the return trip.
Here are the steps to calculate the number of bars Alexander should pack:
Step 1: Calculate the total energy expenditure for the uphill climb.
- The energy expenditure can be calculated using the formula: Energy = weight x distance climbed.
- Convert Alexander's weight from pounds to kilograms if necessary (1kg = 2.2lbs).
- Convert the distance climbed (Mt. Krumpett's height) from feet to meters (1m = 3.28ft).
- Multiply Alexander's weight in kilograms by the height climbed in meters to calculate the energy expenditure for the uphill climb.
Step 2: Calculate the total energy expenditure for the return trip.
- Since Alexander assumes he will need as much energy for the return trip, the energy expenditure for the uphill climb can be used as an estimate for the return trip as well.
Step 3: Calculate the total energy required for the entire journey.
- Add the energy expenditure for the uphill climb and the energy expenditure for the return trip to get the total energy required.
Step 4: Calculate the number of bars needed.
- Divide the total energy required by the energy content per bar.
- The energy content per bar can be calculated by multiplying the total weight of the bar by the percentage of energy each nutrient provides. In this case, it would be 10% of fat, 40% of protein, and 50% of carbohydrates.
Step 5: Round up to the nearest whole number.
- Since Alexander cannot pack a fraction of a bar, round up the number of bars needed to the nearest whole number.
By following these steps, you will be able to determine the number of nutrition bars Alexander should pack for his journey.