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.

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.