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Answer :
Final answer:
To find the potential energy gained by an 80 kg person climbing stairs to a height of 2.8 m, we multiply the mass by the acceleration due to gravity and the height, resulting in a potential energy gain of 2201.6 J, which is not listed among the given options.
Explanation:
To calculate the potential energy gained by a person climbing stairs, we use the formula for gravitational potential energy: PE = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height in meters.
For an 80 kg person gaining 2.8 m in height, the potential energy gained (PE) is calculated as follows:
PE = 80 kg × 9.8 m/s² × 2.8 m = 2201.6 J.
Therefore, none of the provided answer options (a) 784 J, (b) 22.4 kJ, (c) 196 J, (d) 627.2 J are correct. The potential energy gained is 2201.6 J.
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