Weight difference at Mt. Everest summit vs. sea level

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SUMMARY

The discussion focuses on calculating the weight difference of an individual, Ned, at the summit of Mt. Everest (8850 m) compared to sea level. Using the gravitational force formula, Fg = Gm1m2 / r², participants clarify that the mass of Earth (5.98 x 10²⁴ kg) and Earth's radius (6.37 x 10⁶ m) remain constant in both scenarios. The gravitational field strength at sea level is approximately 9.80 N/kg, and participants emphasize the need to adjust the radius in the formula to find Ned's weight at the summit. The discussion highlights the importance of understanding gravitational variations with altitude.

PREREQUISITES
  • Understanding of gravitational force equations, specifically Fg = Gm1m2 / r²
  • Knowledge of gravitational field strength calculations
  • Familiarity with basic physics concepts related to mass and weight
  • Ability to manipulate and substitute values in mathematical equations
NEXT STEPS
  • Calculate Ned's weight at the summit using adjusted radius in the gravitational formula
  • Explore the concept of gravitational variation with altitude in more detail
  • Investigate the implications of weight differences for climbers at high altitudes
  • Learn about the effects of altitude on human physiology and performance
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and mountaineers interested in the effects of altitude on weight and performance.

pauladancer
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Homework Statement


Ned climbs to the peak of Mt. Everest, the tallest peak on Earth at 8850 m above sea level. Ned's mass is 95 kg, the mass of Earth is 5.98 x 1024 kg, and Earth's radius is 6.37 x 106 m. What is the difference in Ned's weight when comparing his weight at the top of the mountain to his weight at sea level?

Homework Equations


Fg = Gm1m2 / r2
g = Gm / r2
g = Fg / m

The Attempt at a Solution


I think I have the field strength equal to 9.80 N using the equation g = Gm / r2 . After that I'm lost, I have no idea how to get his weight at the top of the mountain!
 
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Sorry, mass of Earth should be 5.98 x 1024kg and radius of Earth should be 6.37 x 106m
 
pauladancer said:
I have no idea how to get his weight at the top of the mountain!
Same formula, but are all the variables in it the same value?
 

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