anonymous
  • anonymous
a
Physics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Michele_Laino
  • Michele_Laino
If I call with m the mass of an object upon the earth surface, then its weight W is: \[\Large W = \frac{{GMm}}{{{R^2}}}\] where G is the Newton's constant, M is the earth mass, and R is the earth radius
Michele_Laino
  • Michele_Laino
now, if I call with h, the requested height then I can write: \[\Large \frac{W}{{16}} = \frac{{GMm}}{{{{\left( {R + h} \right)}^2}}}\] |dw:1437246469242:dw|
Michele_Laino
  • Michele_Laino
substituting W, we have: \[\Large \frac{1}{{16}}\frac{{GMm}}{{{R^2}}} = \frac{{GMm}}{{{{\left( {R + h} \right)}^2}}}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Michele_Laino
  • Michele_Laino
and after a simplification, we can write: \[\Large \frac{1}{{16}} = \frac{{{R^2}}}{{{{\left( {R + h} \right)}^2}}}\] or: \[\Large \frac{1}{{16}} = {\left( {\frac{R}{{R + h}}} \right)^2}\] and finally: \[\Large \frac{1}{4} = \frac{R}{{R + h}}\] please solve the last equation for h
Michele_Laino
  • Michele_Laino
that's right! it is h=3*R=3*6400= 19200 Km
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
thanks! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.