Abstract
Although Newton’s Laws of Motion form the fundamental basis of Newtonian Mechanics, there are several other important concepts that are an integral part of that subject. In this chapter we use Maxima to examine some of these concepts, including linear and angular momentum, center of mass, work, and energy.
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Notes
- 1.
Here we are ignoring electric and magnetic fields, which can also exchange momentum with bodies and other fields.
- 2.
In fact, this kind of collision loses the maximum amount of kinetic energy consistent with conservation of momentum.
- 3.
We are using the same value for γ that we used earlier for a spherical projectile. This is a reasonable choice if we assume that our rocket has a cone-shaped nose, since the drag coefficient for a cone is very similar to that for a sphere.
- 4.
In the workbook that accompanies this section, replace wxdraw with draw. The result will be an interactive plot.
- 5.
The ISS is in orbit around the Earth, so it is not at rest. We are assuming the object is dropped from rest, so our calculation does not apply to an object that is actually dropped off of the ISS. In fact, such an object would continue to orbit Earth right along with the ISS.
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© 2016 Todd Keene Timberlake & J. Wilson Mixon, Jr.
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Timberlake, T.K., Mixon, J.W. (2016). Momentum and Energy. In: Classical Mechanics with Maxima. Undergraduate Lecture Notes in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3207-8_3
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DOI: https://doi.org/10.1007/978-1-4939-3207-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-3206-1
Online ISBN: 978-1-4939-3207-8
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