Alexander, who weighs 180 lb, decides to climb Mt. Krumpett, which is 5570 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, 40g of protein, and 50 g of carbohydrates.

No question here.

Sorry, forgot to put the rest,I got distracted.

In this problem you do not need to assume the work of climbing the mountain is 4 times the work of just lifting the weight straight up. You should calculate the number of kJ needed to lift the 171 lb mass 5640 meters and then double this number for the round trip. Remember to watch units!

Question-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?

To calculate the amount of nutrition bars Alexander needs to take with him, we need to determine his calorie requirements for the climb and then divide it by the number of calories in each bar.

First, let's calculate the number of calories in each bar:
- Fat contains 9 calories per gram, so the fat content contributes: 10 g * 9 calories/g = 90 calories.
- Protein also contains 4 calories per gram, so the protein content contributes: 40 g * 4 calories/g = 160 calories.
- Carbohydrates also contain 4 calories per gram, so the carbohydrates contribute: 50 g * 4 calories/g = 200 calories.

Therefore, each bar contains a total of 90 + 160 + 200 = 450 calories.

Next, we need to calculate Alexander's calorie requirements for the climb. To do this, we can use the Harris-Benedict Equation, which calculates the basal metabolic rate (BMR) based on an individual's weight, height, age, and gender. Since we only have information about his weight, we'll make some assumptions to estimate his calorie requirements.

Assuming Alexander is a male adult, we can calculate his BMR using the following formula:
BMR = 66 + (6.23 * weight in pounds) + (12.7 * height in inches) - (6.8 * age in years)

Let's assume Alexander's height is 6 feet (72 inches) and his age is 30. Plugging in these values, the calculation will be:
BMR = 66 + (6.23 * 180 lb) + (12.7 * 72 in ) - (6.8 * 30 years)
= 66 + 1121.4 + 914.4 - 204
= 1897.8

The BMR value represents the calories required to maintain body functions at rest. Since Alexander will be exerting physical effort climbing the mountain, we need to estimate his total energy expenditure (TEE). A common estimate is multiplying the BMR by an activity factor, such as 1.5 for moderate activity.

TEE = BMR * activity factor
= 1897.8 * 1.5
= 2846.7

The estimated TEE for Alexander is approximately 2846.7 calories.

Finally, we can calculate the number of bars he needs to bring by dividing the TEE by the number of calories in each bar:
Number of bars = TEE / calories per bar
= 2846.7 calories / 450 calories per bar
≈ 6.32

Since we can't have a fraction of a nutrition bar, Alexander would need to bring 7 nutrition bars with him for the climb up Mt. Krumpett.