Part A Find the speed se of the spacecraft when it crashes into the earth.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Very far from earth (at R = o0), a spacecraft has run out of
fuel and its kinetic energy is zero. If only the gravitational
force of the earth were to act on it (i.e., neglect the forces
from the sun and other solar system objects), the spacecraft
would eventually crash into the earth. The mass of the earth
is Me and its radius is Re. Neglect air resistance throughout
this problem, since the spacecraft is primarily moving through
the near vacuum of space.
Part A
Find the speed se of the spacecraft when it crashes into the earth.
Express the speed in terms of Me, Re, and the universal gravitational constant G.
Se =
Part B
Now find the spacecraft's speed when its distance from the center of the earth is R= aRe, where the coefficient a >1.
Express the speed in terms of se and a.
Sa =
Transcribed Image Text:Very far from earth (at R = o0), a spacecraft has run out of fuel and its kinetic energy is zero. If only the gravitational force of the earth were to act on it (i.e., neglect the forces from the sun and other solar system objects), the spacecraft would eventually crash into the earth. The mass of the earth is Me and its radius is Re. Neglect air resistance throughout this problem, since the spacecraft is primarily moving through the near vacuum of space. Part A Find the speed se of the spacecraft when it crashes into the earth. Express the speed in terms of Me, Re, and the universal gravitational constant G. Se = Part B Now find the spacecraft's speed when its distance from the center of the earth is R= aRe, where the coefficient a >1. Express the speed in terms of se and a. Sa =
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