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Discussion Questions
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2.5 Discussion Questions
Give some more examples of how differential equations are used to model stuffs in science.
What is the benefit of solving the planetary motion problem numerically? What is the benefit of solving the planetary motion problem analytically (see for example)
We saw a conserved quantity for the case of love. For planetary orbits, we saw that Kepler's second law is equivalent to the conservation of angular momentum. Other than angular momentum, is there another conserved quantity for planetary orbit?
Study the comic below. Do you understand it?
- The above is rather sadistic. A nicer application is the centrifuge machine. Explain how the centrifuge is able to separate particles of different sizes and masses.