How Far Can I Hike Up a Mountain After a 500 Calorie Lunch?

AI Thread Summary
The discussion revolves around calculating how far one can hike up a mountain after consuming a 500-calorie lunch, factoring in energy conversion efficiency. A participant calculated the potential energy and efficiency, arriving at a height of approximately 1569 meters. There is confusion regarding the conversion of this height into miles and the correct interpretation of calorie units, with suggestions that kilo-calories may be intended. Participants are encouraged to clarify the relevant equations for potential energy and how to proceed after determining efficiency. The conversation highlights the importance of accurate unit conversion and understanding energy concepts in hiking scenarios.
layla2525
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Homework Statement



I am 65 kg and eat a 500 Calorie lunch and go hiking up a mountain afterwards. Assuming that chemical energy is converted to gravitational potential energy with 50% efficiency, approximately how many miles up the mountain can I go before I need my dinner?

0.5 miles

1 mile

2 miles

3 miles

4 miles


Homework Equations





The Attempt at a Solution



I solved for height by (2.0 x 10^(6))/ (65kg)(9.8)
which gave me 301538.4615, and then dived it by 2 because of the efficiency and got 1569.8587, now how can i convert into miles?
 
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250-Calorie* snack, which contains 1x10^6 J
 
layla2525 said:
250-Calorie* snack, which contains 1x10^6 J

Close yes but 250 calories is not a lot. It's likely that kilo-calories is intended.
What is a relevant equation for potential energy (in units?)
 
Last edited:
I got 1569 for my efficiency What do I do after I get the Efficiency ?
 

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