Space Ship Collision: How Far Did Meteorite Come?

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The discussion focuses on a physics problem involving a spaceship modeled as a dumbbell with two cabins of mass M connected by a rod of length 2l. A small meteorite of mass m, traveling at velocity u, collides with one cabin, causing the entire ship to move and rotate with an angular velocity omega. The key question is determining the distance from the untouched cabin to the point where the meteorite impacted. Participants suggest using diagrams and principles of rotational momentum transfer to solve the problem.

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One spaceship consist of two cabins of mass M connected by rod of length 2l (ship looks like dumbbell). One of cabins was hitted by small (mass m << M), but extremely fast (velocity u) meteorite. After collision the ship starts moving and also rotating (which angular velocity omega).
How far from untouched cabin the meteorite came? Assume, the speed of remains of meteorite after collision is negligible in comparison to u.
 
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dont know[/size] :biggrin:
 
this looks like homework, so I'll refrain from answering, and give you some hints to the method instead.

draw a diagram and observe the distance from the centre, consider the transfer of rotational momentum, what equations do you have?
 

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