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Is the conservation of momentum possible on earth as gravity is always acting as an external force?
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Is the conservation of momentum possible on earth as gravity is always acting as an external force?
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Robert Reiland, over 40 years of teaching introductory physics
Answered Sep 14, 2017 · Upvoted by Satya Parkash Sud, M.Sc. Physics & Nuclear Physics, University of Delhi (1962)
There are at least two ways to look at this.
One is that in free fall near the Earth objects are accelerated downward and change momentum in the downward direction, but gravitational forces act both ways. The Earth then will be accelerated upward and gain the same amount of momentum in the upward direction as an object gains in the downward direction. Total momentum doesn’t change.
The fact that we don’t perceive an upward acceleration of the Earth is expected since it has so much mass that this upward acceleration will ordinarily be too small to measure.
However, in a real sense the moon is falling toward the Earth, but it’s tangential motion in its orbit keeps it from hitting the Earth. What does happen is that the Earth wobbles in it’s motion as it is measurably accelerated by the gravitational pull of the moon.
Of course in the case of objects in free fall near the Earth there is never just one such object at any time, and on average all of these objects in free fall pull on the Earth gravitationally so as to result in even much less acceleration of the Earth than would be expected from any one alone.
The second way is more in line with your question and points to something deeper.
Hope this helped you..
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3 ANSWERS

Robert Reiland, over 40 years of teaching introductory physics
Answered Sep 14, 2017 · Upvoted by Satya Parkash Sud, M.Sc. Physics & Nuclear Physics, University of Delhi (1962)
There are at least two ways to look at this.
One is that in free fall near the Earth objects are accelerated downward and change momentum in the downward direction, but gravitational forces act both ways. The Earth then will be accelerated upward and gain the same amount of momentum in the upward direction as an object gains in the downward direction. Total momentum doesn’t change.
The fact that we don’t perceive an upward acceleration of the Earth is expected since it has so much mass that this upward acceleration will ordinarily be too small to measure.
However, in a real sense the moon is falling toward the Earth, but it’s tangential motion in its orbit keeps it from hitting the Earth. What does happen is that the Earth wobbles in it’s motion as it is measurably accelerated by the gravitational pull of the moon.
Of course in the case of objects in free fall near the Earth there is never just one such object at any time, and on average all of these objects in free fall pull on the Earth gravitationally so as to result in even much less acceleration of the Earth than would be expected from any one alone.
The second way is more in line with your question and points to something deeper.
Hope this helped you..
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