Satellite Moon Planet A human-made satellite was placed along a straight line between a distant planet and its single moon, as shown in the diagram above. The planet has a mass of 135 x 1024 kg. The satellite has a mass of 12 x 103 kg. The moon has a mass of 2.51 x 1024 kg. The distance from the center of the planet to the center of the moon is d, = 57 x 10° meters (note that this is the same as 57 megameters or 57 Mm). The satellite was placed a distance d2 from the center of the moon. The distance d2 was chosen so that the gravitational force exerted on the satellite by the planet would be equal in magnitude to the magnitude of the gravitational force exerted on the satellite by the moon. Calculate the distance d2 in units of megameters or Mm. [Hint: calculate the distance in units of meters and then divide by 10. In other words, if you calculate the distance to be 3.14 x 107 meters, you should enter 31.4 as your answer.]
Satellite Moon Planet A human-made satellite was placed along a straight line between a distant planet and its single moon, as shown in the diagram above. The planet has a mass of 135 x 1024 kg. The satellite has a mass of 12 x 103 kg. The moon has a mass of 2.51 x 1024 kg. The distance from the center of the planet to the center of the moon is d, = 57 x 10° meters (note that this is the same as 57 megameters or 57 Mm). The satellite was placed a distance d2 from the center of the moon. The distance d2 was chosen so that the gravitational force exerted on the satellite by the planet would be equal in magnitude to the magnitude of the gravitational force exerted on the satellite by the moon. Calculate the distance d2 in units of megameters or Mm. [Hint: calculate the distance in units of meters and then divide by 10. In other words, if you calculate the distance to be 3.14 x 107 meters, you should enter 31.4 as your answer.]
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter7: Gravitation
Section: Chapter Questions
Problem 67A
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