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while scouting in your rocket ship, you discover a spherical asteroid of mass 5000 kg and...

while scouting in your rocket ship, you discover a spherical asteroid of mass 5000 kg and radius 10 m rotating with a period of 2 minutes. You fire a probe at the surface at a glancing angle of mass .5 kg with a velocity of 200 m/s. When the probe impacts the asteroid, the asteroid instantaneously shrinks down to a radius of 3m yet retains the same mass (including the probe). What is the new period of the asteroid. what is angular velocity before ad after the probe hit?

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