A Variable-Mass Snowball Rolling Down a Snowy Slope
| Autor: | Scott Rubin |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Differential equation
Multivariable calculus 05 social sciences Physics education 050301 education General Physics and Astronomy 01 natural sciences Motion (physics) Education Acceleration Terminal (electronics) 0103 physical sciences Applied mathematics 010306 general physics 0503 education Slipping Variable (mathematics) |
| Zdroj: | The Physics Teacher. 57:150-151 |
| ISSN: | 0031-921X |
| DOI: | 10.1119/1.5092471 |
| Popis: | The stereotypical situation of a snowball picking up both mass and speed as it rolls without slipping down a hill provides an opportunity to explore the general form of both translational and rotational versions of Newton’s second law through multivariable differential equations. With a few reasonable assumptions, it can be shown that the snowball reaches a terminal acceleration. While the model may not be completely physically accurate, the exercise and the resulting equation are useful and accessible to students in a second year physics course, arguably. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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