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A flea is able to jump straight up about 0.52 m. It has been said that...

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Physics

A flea is able to jump straight up about 0.52 m. It has beensaid that if a flea were as big as a human, it would be able tojump over a 100-story building! When an animal jumps, it convertswork done in contracting muscles into gravitational potentialenergy (with some steps in between). The maximum force exerted by amuscle is proportional to its cross-sectional area, and the workdone by the muscle is this force times the length of contraction.If we magnified a flea by a factor of 1040, the cross section ofits muscle would increase by 10402 and the length ofcontraction would increase by 1040. How high would this \"superflea\" be able to jump? (Don't forget that the mass of the \"superflea\" increases as well.)

in meters

Answer & Explanation Solved by verified expert
4.0 Ratings (612 Votes)
Using energy conservation for normal flea KEi PEi W KEf PEf KEi 0 since initially flea was at rest PEi 0 since flea was at ground KEf 0 since at the max height velocity of flea is zero PEf mgHmax Hmax max height achieved by normal flea 052 m W Workdone by the muscle Fmd Fm Force exerted by muscle d length of    See Answer
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