Question

You decide to run off the super size Big Mac meal (1230.0 Cal) you ate last night by running up the 8.17 m high bleachers at TCHS stadium. If you weigh 185.2 lbs, how many times would you need to run up the bleachers in order to completely burn off your Big Mac meal?

Answer 1

To burn off the 1230.0 Cal of the Big Mac meal, you would need to run up the 8.17 m high bleachers at TCHS stadium approximately 123 times.

Step-by-step explanation:

To calculate how many times you would need to run up the bleachers to burn off the 1230.0 Cal of the Big Mac meal, we need to first convert your weight from pounds to kilograms. Since 1 lb is approximately 0.45 kg, your weight in kilograms would be 83.77 kg.

Next, we need to calculate the amount of work done in running up the bleachers. The work done is given by the formula: work = force × distance. In this case, the force is your weight in newtons, which is equal to your weight in kilograms multiplied by the acceleration due to gravity (9.8 m/s^2). So the force is 83.77 kg × 9.8 m/s^2 = 820.7066 N. The distance is 8.17 m. Therefore, the work done in running up the bleachers is 820.7066 N × 8.17 m = 6703.869 J.

Now we can calculate the number of times you would need to run up the bleachers to burn off the Big Mac meal. Each run up the bleachers would burn off the same amount of energy (6703.869 J). To convert this energy from joules to calories, we divide by the conversion factor of 4.184 J/cal. Therefore, the number of times you would need to run up the bleachers is 1230.0 Cal ÷ (6703.869 J ÷ 4.184 J/cal) = 122.668 times (rounded to the nearest whole number).