Use Newton's Law of Gravitation to compute the work W required to launch a 1300 kg satellite vertically to an orbit 800 km high. You may assume that the earth's mass is 5.981024 kg and is concentrated at its center. Take the radius of the earth to be 6.37106 m and G = 6.6710-11 Nm2/kg2

Question

baldymcgee6 · Answer

No... you have to use the law of gravitation

baldymcgee6 · Answer

$$F = G \frac{ m_1m_2 }{ r^2 }$$

baldymcgee6 · Answer

The radius will be the radius of the earth+800km

anonymous · Answer

Then do you use that value of F for W=Fd

anonymous · Answer

im not sure how to even set this up

anonymous · Answer

you have the two different masses, the G, and the radius of the Earth, plug in those values and you should get F

anonymous · Answer

okay. so i plugged it all in to get F then what do i do

baldymcgee6 · Answer

What did you get for force?

anonymous · Answer

12778.84215

baldymcgee6 · Answer

okay, that seems like a reasonable amount of force to put a rocket into orbital, now how do we find the Work?

anonymous · Answer

Force multiplied by distance

anonymous · Answer

whats the distance?

baldymcgee6 · Answer

you tell me.

anonymous · Answer

800km

baldymcgee6 · Answer

good!

anonymous · Answer

so i get 10223073.72  and they want it rounded to three signficant figures and i got it wrong

baldymcgee6 · Answer

well that isn't three sig figs

baldymcgee6 · Answer

1.02 * 10^7 N*m

anonymous · Answer

thats not the answer unfortunatly