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An 80 kg person climbs stairs, gaining 2.8 m in height. What is the potential energy gained by the person?

A. 784 J
B. 22.4 kJ
C. 196 J
D. 627.2 J

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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