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Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet...

Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the earth, throwing up so much dust that the sun was blocked out for a period of many months. Suppose an asteroid with a diameter of 5.0 km and a mass of 2.5*10^14 kg hits the earth with an impact speed of 4.0*10^4 m/s.

Part A: What is the earth's recoil speed after such a collision? Assume that the mass of the earth is 5.98*10^24 kg. (Use a reference frame in which the earth was initially at rest.)

Part B: What percentage is this of the earth's speed around the sun? Assume that the orbit of the earth is a circle with the radius of 1.5*10^11 m.

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