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 v, the asteroids with u, and that vu. Let R be the radius and M the mass of the Earth. The Earth collides with the asteroid field: V Show that the slow-down Av of the Earth due to the asteroid collisions is given by: 1 1 + R² dpm ㅠ. Δυ = U (1.

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