A person of mass 90.0 kg walks up a flight of stairs that are 12.0 meters high. What is the required energy of the exercise in Calories?
Question
A person of mass 90.0 kg walks up a flight of stairs that are 12.0 meters high. What is the required energy of the exercise in Calories?
Solution
Sure, let's calculate the energy required for this exercise step by step.
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First, we need to calculate the work done by the person. The work done (W) on an object by a force can be calculated using the formula: W = m * g * h, where m is the mass, g is the acceleration due to gravity, and h is the height.
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Plug in the given values into the formula: W = 90.0 kg * 9.8 m/s² * 12.0 m = 10584 Joules.
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Now, we need to convert this energy from Joules to Calories. The conversion factor is 1 Calorie = 4184 Joules.
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So, the energy in Calories is 10584 Joules / 4184 Joules/Calorie = 2.53 Calories.
Therefore, the person requires approximately 2.53 Calories of energy to walk up the flight of stairs.
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