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Q. 45

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 289

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Short Answer

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 2.0 km and a mass of hits the earth with an impact speed of .

a. What is the earth’s recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.)

b. What percentage is this of the earth’s speed around the sun? The earth orbits the sun at a distance of .

Part (a). The earth’s recoil speed after collision is

Part (b). Percentage of the recoil speed with the speed of the earth around sun is

See the step by step solution

Step by Step Solution

Step 1. Given Information is:Diameter of the asteroid = 2 kmMass of the asteroid = Mass of the earth = Impact speed = Earth orbits the sun at a distance of 

We need to find out :

a) The earth’s recoil speed after collision

b) Comparison of it with earth's speed around the sun.

Part (a).  Step 1Using Law of conservation of Momentum.

Part (b). Step 1Calculating earth's speed around the sun.

We know that,

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