Item 5 Experiments performed on the wing of a hawkmoth (Manduca sexta) show that

Question

Item 5 Experiments performed on the wing of a hawkmoth (Manduca sexta) show that it deflects by a distance of T 4.8 mm when a force of magnitude F 3.1 mN is applied at the tip, as indicated in the figure(Figure 1) Figure 1 of 1 Part A Treating the wing as an ideal spring, find the force constant of the wing. Express your answer using two significant figures AEG N/m. Submit My Answers Give Up Part B Treating the wing as an ideal spring, find the energy stored in the wing when it is deflected Express your answer using two significant figures Submit My Answers Give Up

Explanation / Answer

force constant K = F/x = 3.1*10^-3/(4.8*10^-3) = 0.64 N/m   <<<<-----------answer

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part B

energy stored E = (1/2)*k*x^2 = (1/2)*0.64*(4.8*10^-3)^2 = 7.4*10^-6 J <<<<-----------answer

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part(c)

E'= 2E

(1/2)*k*x'^2 = 2*(1/2)*k*x^2

x' = sqrt2*x

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F' = k*x'

F' = sqrt2*k*x

F' = sqrt2*3.1 mN

F' = 4.4 mN <<<<-----------answer

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