EBK PHYSICS FUNDAMENTALS
EBK PHYSICS FUNDAMENTALS
2nd Edition
ISBN: 9780100265493
Author: Coletta
Publisher: YUZU
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Chapter 5, Problem 29P
To determine

The distance of center of mass of earth-moon system from the center of earth, wherein the mass of earth is 5.98×1024 Kg , the mass of moon is 7.36×1022 Kg and the distance between the centers of earth and moon is 3.82×108 m .

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If 1% of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move? The mass of the Earth is 5.97 × 1024 kg and that of the Moon is 7.34 × 1022 kg . The radius of the Moon’s orbit is about 3.84 × 105 m .
Calculate the location of the center of mass of the earth-moon system (that is, find the distance of the center of mass from the earth's center). The mass of the earth is mE=5.97×1024kgmE=5.97×1024kg and the mass of the moon is mM=7.35×1022kgmM=7.35×1022kg. The distance between the earth and the moon is d=3.84×108md=3.84×108m. Assume the orbital radius of the moon is equal to the distance between the centers of the earth and the moon. Express your answer with the appropriate units.   Where is the center of mass with respect to the earth's surface? Assume the radius of the earth is 6.38×106m6.38×106m. Express your answer with the appropriate units. Enter positive value if the center of mass is above the earth's surface and negative value if it is below.
Jupiter has a mass of 1.9 x 1027 kg—more than twice that of all the other planets in the solar system combined. Its average distance from the sun is 7.78 x 1011 m. If the sun has a mass of 1.99 x 1030 kg and a radius of 6.96 x 108 m, how far from the center of the sun would you find the center of mass of the Jupiter-sun system? (Since Jupiter is so much more massive than the other planets, this position essentially represents the center of mass of the solar system as a whole.)
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