Asteroid Hits Earth Conservation of angular momentum

  • Thread starter FahimP
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  • #1
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Homework Statement



the earth has a n angular speed of 7.272 x 10 ^ -5 rad/s in it;s rotation. Find the new angular speed if an asteroid ( m = 1.17 x 10 ^ 22kg) hits the earth while traveling at 1.41 x10^3 m/s.
the asteroid hits the earth dead center

Homework Equations





The Attempt at a Solution


(La)f + ( Le) f = ( La) + (Le)i
Wf( MaR + 2/5MeR^2) = maRV + 2.5MeR^2W
Wf = ( MaVa + 2/5MeRWe) / ( Ma + 2/5MeR)

this is what I have as final angular speed but it gives me an answer faster than the earths initial angular momentum when the books answer is slightly less than the earths initial answer.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Doc Al
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What's the angular momentum of the asteroid before the collision?
 
  • #3
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Hmmm, just my own question. Does the direction of the rotation matter?

Delzac
 

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