You have discovered a pair of identical asteroids that are approaching the Earth. A. You quickly determine that you can safely ignore the gravitational force between the two asteroids. Give a detailed explanation for how this is possible. The two asteroids are initially the same distance from the Earth, and they have the same initial speed relative to the Earth. A few days later, you measure the asteroids again and find that Asteroid 2 is closer to the Earth than Asteroid I is. B. At the time of this measurement, is the speed of Asteroid 2 greater than, less than, or equal to the speed of Asteroid 1? Make sure to explain your reasoning! After a few more days of measurement, you determine that Asteroid 2 is going to pass in between the Earth and the Moon! You know the mass of the Moon M, the mass of the Earth 80M, the distance between the Earth and the Moon R, and the constant G. C. When the asteroid is located exactly halfway between the Earth and the Moon, determine the net gravitational force on the asteroid in terms of the variables above. Make sure to explain how you got your answer!

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You have discovered a pair of identical asteroids that are approaching the Earth.
A. You quickly determine that you can safely ignore the gravitational force between the two
asteroids. Give a detailed explanation for how this is possible.
The two asteroids are initially the same distance from the Earth, and they have the same initial
speed relative to the Earth. A few days later, you measure the asteroids again and find that
Asteroid 2 is closer to the Earth than Asteroid I is.
B. At the time of this measurement, is the speed of Asteroid 2 greater than, less than, or equal to
the speed of Asteroid 1? Make sure to explain your reasoning!
After a few more days of measurement, you determine that Asteroid 2 is going to pass in between
the Earth and the Moon! You know the mass of the Moon M, the mass of the Earth 80M, the
distance between the Earth and the Moon R, and the constant G.
C. When the asteroid is located exactly halfway between the Earth and the Moon, determine the
net gravitational force on the asteroid in terms of the variables above. Make sure to explain
how you got your answer!
Transcribed Image Text:You have discovered a pair of identical asteroids that are approaching the Earth. A. You quickly determine that you can safely ignore the gravitational force between the two asteroids. Give a detailed explanation for how this is possible. The two asteroids are initially the same distance from the Earth, and they have the same initial speed relative to the Earth. A few days later, you measure the asteroids again and find that Asteroid 2 is closer to the Earth than Asteroid I is. B. At the time of this measurement, is the speed of Asteroid 2 greater than, less than, or equal to the speed of Asteroid 1? Make sure to explain your reasoning! After a few more days of measurement, you determine that Asteroid 2 is going to pass in between the Earth and the Moon! You know the mass of the Moon M, the mass of the Earth 80M, the distance between the Earth and the Moon R, and the constant G. C. When the asteroid is located exactly halfway between the Earth and the Moon, determine the net gravitational force on the asteroid in terms of the variables above. Make sure to explain how you got your answer!
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