A certain insect’s wing has been shown to deflect a distance 14.8 mm under a force of 0.19 N applied to the end of the wing.

(a)
If the wing is assumed to behave as an ideal spring, calculate the force constant in N/m.
(b)
At this deflection, how much energy is stored in the wing, in Joules?

1 answer

(a) The force constant can be calculated using the equation F = kx, where F is the applied force, k is the force constant, and x is the deflection. Rearranging this equation to solve for k gives k = F/x, so the force constant is 0.19 N/14.8 mm = 0.0128 N/m.

(b) The energy stored in the wing can be calculated using the equation E = 1/2kx^2, where E is the energy stored, k is the force constant, and x is the deflection. Substituting in the values from part (a) gives E = 1/2(0.0128 N/m)(14.8 mm)^2 = 0.0044 J.
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