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183_notes:localg [2021/02/04 23:30] – [The Gravitational Acceleration] stumptyl | 183_notes:localg [2021/02/04 23:32] – [Motion of Systems Due to Near-Earth Gravitational Forces] stumptyl | ||
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==== Motion of Systems Due to Near-Earth Gravitational Forces ==== | ==== Motion of Systems Due to Near-Earth Gravitational Forces ==== | ||
- | As you have read, the [[183_notes: | + | As you have read, the [[183_notes: |
The momentum of the system changes through the momentum principle, but the motion (how the position of the system changes) only depends on how the velocity changes. When the system only interacts with the Earth, this velocity change only depends on the gravitational acceleration. This can be summarized mathematically like this: | The momentum of the system changes through the momentum principle, but the motion (how the position of the system changes) only depends on how the velocity changes. When the system only interacts with the Earth, this velocity change only depends on the gravitational acceleration. This can be summarized mathematically like this: | ||
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=== When are these equations useful? === | === When are these equations useful? === | ||
- | The previous two equations((Notice that these equations are identical to the [[183_notes: | + | __//The previous two equations((Notice that these equations are identical to the [[183_notes: |
Galileo was the first to predict that the motion of objects near the Earth (where the Earth is the sole interaction) was independent of the mass of the object. His [[http:// | Galileo was the first to predict that the motion of objects near the Earth (where the Earth is the sole interaction) was independent of the mass of the object. His [[http:// | ||
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{{ youtube> | {{ youtube> | ||
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So, when you can reasonably assume that the major interaction between the system and the surroundings is the gravitational interaction with the Earth, these equations can be useful for getting a decent idea of the motion of the system. | So, when you can reasonably assume that the major interaction between the system and the surroundings is the gravitational interaction with the Earth, these equations can be useful for getting a decent idea of the motion of the system. |