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Answer :
Final answer:
To calculate the work done by the person, his weight is converted to kilograms and multiplied by the acceleration due to gravity and the total height climbed. The calculated work is 10943.9 J, which does not match any of the provided options, suggesting a possible error in the question or answer choices.
Explanation:
The subject of this question is Physics, and it involves calculating the mechanical work done by a person running up a flight of stairs. To find the work done, we use the formula W = mgh, where 'm' is the mass in kilograms, 'g' is the acceleration due to gravity (9.8 m/s2), and 'h' is the height in meters. First, we convert the weight of the person from pounds to kilograms (1 lb = 0.453592 kg) and then calculate the total height climbed. The person weighs 176 lbs, which is approximately 79.8327 kg (176 lb * 0.453592 kg/lb). The total height (h) climbed in meters is 70 steps * 0.20 meters/step = 14 meters. Now, applying the formula: W = mgh = 79.8327 kg * 9.8 m/s2 * 14 m = 10943.9 J This result is not an option given in the multiple-choice answers provided, which suggests there might be a typo in the question itself or the options provided. The closest answer to our calculation would be option 'd', but it does not match precisely.
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