A satellite moves around the Earth in a circular orbit of

Chapter 13, Problem 48

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A satellite moves around the Earth in a circular orbit of radius r. (a) What is the speed vi of the satellite? (b) Suddenly, an explosion breaks the satellite into two pieces, with masses m and 4m. Immediately after the explosion, the smaller piece of mass m is stationary with respect to the Earth and falls directly toward the Earth. What is the speed v of the larger piece immediately after the explosion? (c) Because of the increase in its speed, this larger piece now moves in a new elliptical orbit. Find its distance away from the center of the Earth when it reaches the other end of the ellipse.

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