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:
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:
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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Please solve the question in the picture.
![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:
.....
Show that the slow-down Av of the Earth due to the asteroid collisions is given by:
1
Δυ-υ 1
1+ #R²dp#](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3eb6078-5128-45fe-904a-93d8902435f3%2Fa5cb7988-adb1-45b4-8eee-59c2a4cb6f67%2Ffu7b9o_processed.png&w=3840&q=75)
Transcribed Image Text: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:
.....
Show that the slow-down Av of the Earth due to the asteroid collisions is given by:
1
Δυ-υ 1
1+ #R²dp#
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