Posted by Ana on Saturday, March 13, 2010 at 8:28pm.
You have to lift the body to orbit and then speed it up to orbit speed.
m v^2/r = G m M/r^2 in orbit
so (1/2)m v^2 = G m M/(2r) = Ke in orbit
Change in Potential energy to lift it to orbit
= G m M/(r-Rearth)
how do i get small r?
is it R_e + height?
Yes, earth radius + height
(6.67E-11*220*5.98E24)/(6.38E6+2.0E5)-(6.38E6)=
1.33295653E10J
Is this right? I want to make sure if this is right before I insert into the site.
both terms should be positive
What do you mean?
(6.67E-11*220*5.98E24)/[2(6.38E6+2.0E5)]
note 2 in denominator
+ (6.67E-11*220*5.98E24) / 2^10^5
8.78*10^16 [ 1/1.32E7 + 1/2E5 ]
so is it 6770873457?
Change in Potential energy to lift it to orbit
= G m M [1/Rearth - 1/r ]
8.78*10^16 [ 1/1.32E7 + 1/6.38E6 - 1/6.58E6 ]
this is my last try....is it 6904053501?
7.07*10^9 Joules
We are close to each other. My arithmetic is failing, after bedtime.
Your professor must like arithmetic !
Yes, we are. Some of the problems are very difficult but thank you so much for your help. I really appreciate.
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