A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) (a) Determine an expression that will allow you to find the speed of the satellite. %3= (b) The satellite splits into two fragments, with masses m and 4m. The fragment with massm is initially at rest with respect to the Earth, then falls straight towards the Earth. T fraqment with mass 4m moves with initial speed v. Find an expression for v. V = (c) Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth whe reaches the far end of the ellipse.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
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OUR TEACH
A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.)
(a) Determine an expression that will allow you to find the speed of the satellite.
V =
(b) The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The
fragment with mass 4m moves with initial speed v. Find an expression for v,
V; =
(c) Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it
reaches the far end of the ellipse.
Transcribed Image Text:OUR TEACH A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G, ME, and r.) (a) Determine an expression that will allow you to find the speed of the satellite. V = (b) The satellite splits into two fragments, with masses m and 4m. The fragment with mass m is initially at rest with respect to the Earth, then falls straight towards the Earth. The fragment with mass 4m moves with initial speed v. Find an expression for v, V; = (c) Because of the increase in its speed, this larger fragment now moves in an elliptical orbit. Find an expression for the fragment's distance away from the center of the Earth when it reaches the far end of the ellipse.
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