The nutritional calorie (Calorie) is equivalent to 1 kcal. One pound of body fat is equivalent to about 4.1 103 Calories. If an athlete expends 1635 kJ/h, how long does she have to play to work off 1.0 lb of body fat?
i dont know
To determine how long the athlete has to play to work off 1.0 lb of body fat, we need to convert the values given into a common unit and then calculate the time required.
First, we need to convert the energy expended by the athlete from kilojoules (kJ) to kilocalories (kcal). The conversion factor between the two is 1 kcal = 4.184 kJ.
So, the energy expended by the athlete in kilocalories (kcal) can be calculated as follows:
1635 kJ * (1 kcal / 4.184 kJ) = 391.742 kcal
Now, we know that 1 lb of body fat is equivalent to about 4.1 * 10^3 Calories. To convert this to kilocalories, we need to divide it by 1, as 1 Calorie is equivalent to 1 kilocalorie.
4.1 * 10^3 Calories = 4.1 * 10^3 kcal
Now, we can calculate the time required to work off 1.0 lb of body fat by dividing the energy expended by the athlete by the energy equivalent of 1 lb of body fat:
Time = (energy expenditure in kcal) / (energy equivalent of 1 lb of body fat in kcal)
Time = 391.742 kcal / (4.1 * 10^3 kcal)
Time = 0.0952 hours
Therefore, the athlete would need to play for approximately 0.0952 hours to work off 1.0 lb of body fat.