Satellite Мoon 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 122 x 1024 kg. The satellite has a mass of 29 x 103 kg. The moon has a mass of 2.84 x 1024 kg. The distance from the center of the planet to the center of the moon is d1 = 64 x 106 meters (note that this is the same as 64 megameters or 64 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

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Figure 1
d,
Satellite
Мoon
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 122 x 1024 kg. The satellite has a mass of 29
x 103 kg. The moon has a mass of 2.84 x 1024 kg. The distance from
the center of the planet to the center of the moon is d1 = 64 x 106
meters (note that this is the same as 64 megameters or 64 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 106.
In other words, if you calculate the distance to be 3.14 x 10’ meters,
you should enter 31.4 as your answer.]
Transcribed Image Text:Figure 1 d, Satellite Мoon 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 122 x 1024 kg. The satellite has a mass of 29 x 103 kg. The moon has a mass of 2.84 x 1024 kg. The distance from the center of the planet to the center of the moon is d1 = 64 x 106 meters (note that this is the same as 64 megameters or 64 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 106. In other words, if you calculate the distance to be 3.14 x 10’ meters, you should enter 31.4 as your answer.]
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