​A satellite has a mass of 94 kg and is located at 1.96 106 m above the surface

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A satellite has a mass of 94 kg and is located at 1.96  106 m above the surface of Earth.

(a) What is the potential energy associated with the satellite at this location?

(b) What is the magnitude of the gravitational force on the satellite?

Jun 8th, 2015

a) U = m g' (R + h) – m g R = m g R²/(R+h) – m g R

U = m g R (R/(R+h) – 1) = - m g R h/(R+h)

U = - 94 * 9.8 * 6371000 * 1.97 10^6/(6371000 + 1.97 10^6)

U =  1386148117.01 J

= - 1386.15 * 10^6 J

b) The acceleration due to gravity at sea level is:

g = G M/R²

At h = 1.96 *10^6 m of altitude:

g' = G M/(R+h)²

By dividing the equations:

g'/g = R²/(R+h)²

g' = g R²/(R+h)²

F = m g' = m g R²/(R+h)² = 94 * 9.8 * 6371000²/(6371000 + 1.97*10^6)²

F = 537.44 N

Jun 8th, 2015

the first one is not correct

Jun 8th, 2015

Try that in different forms

Jun 8th, 2015

I am sorry....

-1380767229.86

= - 1380.77 * 10^6 J

Jun 8th, 2015

still gave me incorrect

Jun 8th, 2015

Try that in different forms............................................................................................................................................

Jun 8th, 2015

i've tried  is incorrect

Jun 8th, 2015

I double checked the answer. its correct

Jun 8th, 2015

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Jun 8th, 2015
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Jun 8th, 2015
Sep 21st, 2017
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