A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s (at this point the rocket is too far from the surface of the earth to be affected by the earth gravitational pull).  What maximum distance from the earth surface does the rocket travel before falling back to the earth? The radius of the earth is RE = 6.37 x 106 meters, the mass of the earth is ME = 5.98 x 1024 kg and G = 6.67 x 10-11 N∙m2/kg2

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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A rocket is fired straight up, and it burns out at an altitude of 250 km when traveling at 6.00 km/s (at this point the rocket is too far from the surface of the earth to be affected by the earth gravitational pull).  What maximum distance from the earth surface does the rocket travel before falling back to the earth? The radius of the earth is R= 6.37 x 106 meters, the mass of the earth is ME = 5.98 x 1024 kg and G = 6.67 x 10-11 N∙m2/kg

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