Question

Alexandra decides to climb Mt. Krumpett, which is 5000 high. She determines that this will require a total of 3600 of energy for the trip. For her food supply, she decides to take nutrition bars. The label states that each bar contains 50 of carbohydrates, 10 of fat, and 40 of protein

Answer 1

To calculate the time it would take to burn off the energy in a nutrition bar, you can use the formula Time = Energy / (Power x Efficiency). The energy content of each macronutrient can be calculated by multiplying the grams by their respective energy values. In this case, the nutrition bar contains 450kcal of energy. By plugging in the values for power, efficiency, and energy, you can find the time it would take to burn off the energy.

Step-by-step explanation:

To calculate how long it would take to burn off the energy in a nutrition bar, we need to determine the total energy content of the bar in Calories or kilocalories (kcal). The label states that each bar contains 50g of carbohydrates, 10g of fat, and 40g of protein. The energy content of each macronutrient can be calculated as follows:

Carbohydrates:

50g x 4kcal/g = 200kcal

Fat:

10g x 9kcal/g = 90kcal

Protein:

40g x 4kcal/g = 160kcal

To find the total energy content of the bar, we add up the energy from each macronutrient: 200kcal + 90kcal + 160kcal =

450kcal

.

Now, to calculate the time it would take to burn off this energy while exercising at a moderate intensity of 150W and assuming an efficiency of 20%, we can use the equation:

Time (in seconds) = Energy (in Joules) / (Power x Efficiency)

Converting kcal to Joules: 450kcal x 4184J/kcal = 1,881,600J

Converting seconds to minutes: Time (in minutes) = Time (in seconds) / 60

Plugging in the values:

1. Power = 150W
2. Efficiency = 20%
3. Energy = 1,881,600J

we can calculate the time it would take to burn off the energy in the nutrition bar.