The rabbit flea Spilopsyllus has a mass of 0.45 mg. It can jump vertically to aheight of about 3.5 cm. Biologists have hypothesized that the

Question

The rabbit flea Spilopsyllus has a mass of 0.45 mg. It can jump vertically to aheight of about 3.5 cm. Biologists have hypothesized that the energy for the jump is most likely derived from the elastic potential energy stored in the resilin pads ofthe two rear legs of the flea. Each pad is estimated to have a volume of about and its strain typically reaches a value of 100%. The elastic modulus of resilience is about . Is the hypothesis plausible

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Vân Khánh 3 years 2021-08-12T11:45:34+00:00 1 Answers 2 views 0

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  1. Doris
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    2021-08-12T11:47:08+00:00
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    Answer:

    Therefore The hypothesis is not plausible Because

    P.E \geq P.E_e

    P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J

    Explanation:

    From the question we are told that:

    Mass M=0.45mg

    Jump height h=3.5cm \approx 0.03m

    Percentage strain \mu =100\%

    Generally the equation for potential energy is mathematically given by

    P.E=mgh

    P.E=0.45*10^{-3}*9.8*0.03

    P.E=12.435*10^{-5}J

    Generally the equation for Elastic potential energy is mathematically given by

    P.E_e=0.5*stress*strain *volume

    P.E_e=0.5*1*2*10^6*1*1.4*10^{-4*(10^-3)^3}

    P.E_e=1.4*10^{-7}J

    The hypothesis is only plausible at conditions where

    P.E\leq P.E_e

    Therefore The hypothesis is not plausible Because

    P.E \geq P.E_e

    P.E=12.435*10^{-5}J \geq 1.4*10^{-7}J

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