Suppose an asteroid of mass 1 1019 kg is nearly at rest outside the solar system, far beyond Pluto. It falls toward the Sun and crashes into the Earth at the equator, coming in at an angle of 30 degrees to the vertical as shown, against the direction of rotation of the Earth (Figure 9.71). It is so large that its motion is barely affected by the atmosphere.
(a) Calculate the impact speed.
(b) Calculate in hours the change in the length of a day due to the impact.
Note: Assume that the mass of the asteroid does not significantly change the moment of inertia of the Earth. This is a valid assumption except for the very largest of asteroids.
mass earth: 6e24
mass of asteriod: 1e19
r1 = distance from sun to beyond pluto ~ 5.89e12
r2 = distance from sun to earth = 1.5e11
V = GMm / R
ω = 2π /T
I = mr^2
The Attempt at a Solution
I've sat here and stared at it for about an hour now and I have absolutely no idea.