Assume that a gravitational anomaly in the solar system has shifted a field of asteroids into Earth's orbit, and the fie

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Assume That A Gravitational Anomaly In The Solar System Has Shifted A Field Of Asteroids Into Earth S Orbit And The Fie 1 (73.2 KiB) Viewed 60 times

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 v »u. Let R be the radius and M the mass of the Earth. The Earth collides with the asteroid field: U Show that the slow-down Av of the Earth due to the asteroid collisions is given by: 1 Δυ =υ (1 1+ 4Rdpm (