Force due to gravity homework problem

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jimbo71
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Homework Statement


see problem 16 attachment


Homework Equations


see problem 16 attempt attachment


The Attempt at a Solution


see problem 16 attempt attachment
 
Attachments
  • Printed textbook problem 16: difference in weight of a 69-kg person at sea level and atop Vinson Massif, given GMearth = 3.99 x 10^14 N m^2 kg^-1, Earth radius 6.38 x 10^6 m, height 5.14 x 10^3 m.
    21065-85055-problem 16.jpg
    24 KB · Views: 550
  • Handwritten derivation of the weight difference between sea level and a mountain: W_sealevel = GmE m / r^2, W_mountain = GmE m / (r+h)^2, then W_sea minus W_mount equals the difference of (3.99 x 10^14)(69)/(6.38 x 10^6)^2 and (3.99 x 10^14)(69)/(6.38 x 10^6 + 5.19 x 10^3)^2, giving 1.09 N.
    21065-85055-problem 16 attempt.jpg
    20 KB · Views: 467

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