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

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SUMMARY

The discussion centers on calculating the distance one can hike up a mountain after consuming a 500 Calorie lunch, factoring in a 50% efficiency in converting chemical energy to gravitational potential energy. The user, weighing 65 kg, calculated a potential height of approximately 301,538.46 meters, which was then halved to account for efficiency, yielding 1,569.86 meters. The conversation highlights the need to convert this height into miles, emphasizing the importance of understanding potential energy equations and unit conversions in physics.

PREREQUISITES
  • Understanding of gravitational potential energy equations
  • Basic knowledge of unit conversions (meters to miles)
  • Familiarity with energy efficiency concepts
  • Proficiency in basic algebra for solving equations
NEXT STEPS
  • Learn about gravitational potential energy equations and their applications
  • Research unit conversion methods, specifically from meters to miles
  • Explore energy efficiency calculations in physical systems
  • Study the relationship between caloric intake and physical exertion
USEFUL FOR

Students studying physics, outdoor enthusiasts planning hikes, and anyone interested in the relationship between energy consumption and physical activity.

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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