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 2.5x104 kg hits the earth with an impact speed of 3.5×10 m/s . a. What is the earth's recoil speed after such a collision? Assume that the mass of the earth is 5.98-1024 kg. (Use a reference frame in which the earth was initially at rest.) i. 1.5*10^-6 m/s 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.Express your answer in percent.

Physics for Scientists and Engineers with Modern Physics
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Chapter9: Linear Momentum And Collisions
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Problem 10P: The magnitude of the net force exerted in the x direction on a 2.50-kg particle varies in time as...
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Hi, I'm not sure how to go about solving part b. but I have part a. Please show step by step of part b.

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 2.5x104 kg hits the earth with an impact speed of 3.5x10 m/s .
a. What is the earth's recoil speed after such a collision? Assume that the mass of the
earth is 5.98-1024 kg. (Use a reference frame in which the earth was initially at
rest.)
i. 1.5*10^-6 m/s
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.Express your answer in
percent.
Transcribed Image Text: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 2.5x104 kg hits the earth with an impact speed of 3.5x10 m/s . a. What is the earth's recoil speed after such a collision? Assume that the mass of the earth is 5.98-1024 kg. (Use a reference frame in which the earth was initially at rest.) i. 1.5*10^-6 m/s 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.Express your answer in percent.
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