Momentum and Energy Problem

  • Thread starter OshKosh
  • Start date
  • #1
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Homework Statement



Determine the energy and change in orbital speed required for the Earth to escape from its orbit around the Sun.

Homework Equations



I guess:
Change In E = E total of o - E total of s (Egs)
E total of orbit = (0.5)Eg of oribit

The Attempt at a Solution



Don't really know how to begin with this one considering it's not something like a satellite leaving Earth's orbit but rather it's the Earth leaving the sun's orbit.
 

Answers and Replies

  • #2
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energy required will be Final E - total E ... what you think will be final energy
 
  • #3
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Yeah but I don't get how to calculate final energy if the Earth is leaving the sun's orbit.
 
  • #4
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What will be the distance b/w earth and sun when earth has escaped?
 
  • #5
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I guess greater than 150 000 000 km, but how would I use that?
 
  • #6
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escaping means that you are out of reach of gravitational forces of sun.

GMm/r^2 is 0 for what value of r ???
 
  • #7
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So I would put the distance between the earth and sun's orbit for r? Then just sub in the rest of the values?
 
  • #8
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No ...
my question is simple .... 1/r is 0 for what value of r ??
 
  • #9
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Maybe it's so simple that it's under my nose but isn't that not possible for it to be 0? Can't it only approach 0?
 
  • #10
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that very large value is called to be infinity for which 1/r is 0

not what will be the potential energy of earth at r=infinity?
 
  • #11
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Wouldn't it be just close to 0? (In a negative number)

I also have a test on this tomorrow so if you're going to take a really long time to explain this might as well tell me now.
 
  • #12
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only when you are talking about real numbers ...

lets leave this debate for now and concentrate on the question
 
  • #13
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Well you're the one who brought it up...

After a half of hour of explaining something that doesn't seem to be that useful for the actual problem, I still don't get how to do the problem. Surprise?
 
  • #14
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Yes, surprised!!!

you have E(initial) and E(final) is 0
can you find change in E?
 

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