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Answer :
Final answer:
The total change in potential energy for an 80.0 kg climber with a 20.0 kg pack climbing to the top of Mount Everest is calculated using the formula PE = mgh, which gives 8,668,800 J. The provided options do not match this calculated value.
Explanation:
To calculate the change in the climber's potential energy when they climb Mount Everest, we'll use the formula for gravitational potential energy which is:
PE = mgh,
where:
- m is the mass of the climber and their pack,
- g is the acceleration due to gravity,
- h is the height of Mount Everest.
The total mass (climber and pack) is m = 80.0 kg + 20.0 kg = 100.0 kg.
The acceleration due to gravity, g, is approximately 9.80 m/s2.
The height of Mount Everest, h, is 8848 m.
Plugging in these values, we get:
PE = mgh = (100.0 kg)(9.80 m/s2)(8848 m) = 8,668,800 J.
None of the answer choices matches this value because the correct value has been calculated incorrectly in the question scenario. A re-evaluation of the given choices is needed; however, based on the calculated result, we can determine that option D) 8,848,000 J is the closest to the correct, yet still incorrect, value.
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