Assume that a gravitational anomaly in the solar system has shifted a field of asteroids into Earth's orbit, and the field is now moving directly towards Earth. The asteroid field has a density of p (asteroids/volume), and each asteroid has an average mass of m. The asteroid field stretches over a distance d in Earth's path. Assume that the Earth moves with a velocity of u, the asteroids with u, and that v »u. Let R be the radius and M the mass of the Earth. The Earth collides with the asteroid field:

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