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**[SOLVED] Gravitational Fields question**

## Homework Statement

1. Mount Everest is approximately 10 km high. how much less would a mountaineer of mass 100kg (including backpack) weigh at its summit, compared to her weight at sea level? Would this difference be measureable with bathroom scales?

Mass of Earth = 6.0 * 10^24

Radius (km) = 6400

## Homework Equations

g = GM/r²

where G = 6.67 * 10^-11

## The Attempt at a Solution

Every time I try, I either get numbers far too big or far too small so I think I'm having difficulty reading what the question is actually asking me to do.

g = 9.8

(9.8 * r²) / G = M

(9.8 * 10,000²) / 6.67 * 10^-11 = M

M = 1.5 * 10^19 which is far too large.

So I think I'm just doing something completely wrong.

Thanks