.0000 Sprint 11:34 AM @* 83% session.masteringphysics.com Problem 9.57 Mastering

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.0000 Sprint 11:34 AM @* 83% session.masteringphysics.com Problem 9.57 MasteringPhysics Problem 9.57 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 2.5x 104 kg hits the earth with an impact speed of 3.5× 104 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. 1024 kg. (Use a reference frame in which the earth was initially at rest.) Express your answer to two significant figures and include the appropriate units. im Submit Give Up Correct 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 1.5.1011 m

Explanation / Answer

part a )

initially earth at rest so initial momentum of earth = 0

mv = (m+M)*V

V = mv/(m+M)

V = 1.4632 x 10^-6 m/s

now orbital speed

earth take 1year = 365 x 24 x 3600 =

v = 2pir/T

v = 29885.77 m/s

vrecoil/vorbit = 4.896 x 10^-11

= 4.896 x 10^-9 %

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