Asteroid Hits Earth Conservation of angular momentum

AI Thread Summary
The discussion revolves around calculating the new angular speed of Earth after an asteroid impact, using conservation of angular momentum principles. The initial angular speed of Earth is given as 7.272 x 10^-5 rad/s, and the asteroid's mass and velocity are specified. The user attempts to solve the problem using the equation for angular momentum but finds their calculated angular speed exceeds the initial value, which contradicts the expected outcome. They question the angular momentum of the asteroid before the collision and whether the direction of Earth's rotation affects the results. The conversation highlights the complexities of applying conservation laws in collision scenarios.
FahimP
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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 Earth's initial angular momentum when the books answer is slightly less than the Earth's initial answer.
 
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What's the angular momentum of the asteroid before the collision?
 
Hmmm, just my own question. Does the direction of the rotation matter?

Delzac
 
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