Final answer:
To calculate the energy content of the cookie, multiply the amount of each nutrient by its respective energy value. To burn off the energy from the cookie, divide the energy content by the rate of energy consumption during exercise. The maximum speed the person can move at when converting the energy from the cake into kinetic energy depends on various factors.
Step-by-step explanation:
To calculate the energy content of the cookie, we need to multiply the amount of each nutrient by its respective energy value. The cookie contains 2g of protein, which has an energy value of 4 kcal/g, so the protein content contributes 8 kcal to the energy content. The cookie also contains 17g of carbohydrates (17 kcal) and 7g of fat (63 kcal). The total energy content of the cookie is 8 kcal + 17 kcal + 63 kcal = 88 kcal. To determine how long the person will need to exercise to burn off the energy from the cake, divide the energy content of the cake (88 kcal) by the rate at which people consume energy during exercise (510 kcal/h). So the person will need to exercise for 88 kcal / 510 kcal/h = 0.1725 hours, which is equivalent to approximately 10.35 minutes. As for the maximum speed the person can move at when converting the energy from the cake into kinetic energy, we need to consider the conservation of energy. The energy from the cake can be converted into kinetic energy, but this process is not 100% efficient. In reality, there will be losses due to factors such as friction and heat production. Therefore, it is not possible to determine the exact maximum speed without additional information.