Experiments performed on the wing of a hawkmoth (Manduca sexta) show that it deflects by a distance of x = 4.8 mm when a force of magnitude F = 3.0 mN is applied at the tip, as indicated in the figure. Treating the wing as an ideal spring, (a) find the force constant of the wing. And (b) the energy stored in the wing when it is deflected. (c) What force must be applied to the tip of the wing to store twice the energy found in part (b)?
(a)
F=-kx N/m
k = F / x = 3.0*10^-3N / 4.8*10^-3m = 0.625 N/m
(b)
U=1/2kx^2 J
1/2*0.625*(4.8*10^-3)^2 = 7.2*10^-6 J
and I can't figure it out part (c)...