n it has a charge Score: 1 out of 1 Comment: Need Help? My A molecule of DNA spr

Question

n it has a charge Score: 1 out of 1 Comment: Need Help? My A molecule of DNA spring anit compresses 1.01% upon becoming charged. Determine the effective spring constant of the molecule dea yribo nucleic acid is 2 08 m long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical ol c le s N/m Need Help? Read It Practice Another Ver Calculate the magnitude and direction of the Coulomb force on each of the three charges shown in the figure below. O Type here to search

Explanation / Answer

delta(x) = (1.01)L/100 = (1.01)(2.08 um)/100

= 2.1008 x 10^-8 m

Now L' = L - delta(x) = 2.06 x 10^-6 m

for equalibrium,

Fe = f_spring

k e e / L'^2 = k delta(x)

(9 x 10^9)(1.6 x 10^-19)^2 / (2.06 x 10^-6)^2 = k(2.1008 x 10^-8)

k = 2.55 x 10^-9 N/m  

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