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feb27b - MIT OpenCourseWare http/ocw.mit.edu 6.055J 2.038J...

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MIT OpenCourseWare http://ocw.mit.edu 6.055J / 2.038J The Art of Approximation in Science and Engineering Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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6.055 / Art of approximation 30 Now finish propagating toward the root. The available energy is E avail m . So an animal with three times the mass of another animal can store roughly three times the energy in its muscles, according to this simple model. Now compare the available and required energies to find how the jump height as a function of mass. The available energy is E avail m and the required energy is E required mh . Equate these energies, which is an application of conservation of energy. Then mh m or h m 0 . In other words, all animals jump to the same height. The result, that all animals jump to the same height, seems Flea Click beetle Locust Human 10 3 10 1 10 5 10 30 60 Mass (g) h (cm) surprising. Our intuition tells us that people should be able to jump higher than locusts. The graph shows jump heights for animals of various sizes and shapes [source: Scaling: Why
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