Most geologists believe that the dinosaurs became extinct 65 million years ago when a large comet or asteroid struck the

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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 2.5×1014 kg hits the earth with an impact speed
of 4.5×104 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.)
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
Express your answer to two significant figures and include the
appropriate units.