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Most geologists believe that the dinosaurs became extinct 65 million years ago w

ID: 1444822 • Letter: M

Question

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 1.1×1013 kg hits the earth with an impact speed of 4.4×104 m/s .

1. What is the earth's recoil speed after such a collision? (Use a reference frame in which the earth was initially at rest.) Use the astronomical data inside the back cover of the textbook.

2. What percentage is this of the earth's speed around the sun?

Explanation / Answer

a).

P = 0

M V + m v - (M + m) v' = 0

M (0) + (10^13)(4 * 10^4) - (5.97 * 10^24 + 4 * 10^4) v' = 0

v' = 6.7 10^(-8) m/s


(b).
Average earth's orbital speed = 29.783 km/s

v' just 2.25 * 10^(-10) % of earth's orbital speed

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