iPad 10:54 AM 98% D Assignment . Quest × \' D https://quest.cnsur × a Intruder i

Question

iPad 10:54 AM 98% D Assignment . Quest × ' D https://quest.cnsur × a Intruder in the Dust × ' g Mosquitoes by Willi: × ' D who owns a corpora C https://quest.cns.utexas.edu/student/images/pr signment-2913 001 10.0 points An uncharged molecule of DNA (deoxyri- bonucleic acid) is 2.12 m long. The ends of the molecule become singlv ionized so that there is a charge of-1.6 × 10-19 C on one end and +1.6 × 10-19 C on the other. The heli- cal molecule acts like a spring and compresses 1.4% upon becoming charged Find the effective spring constant of the molecule. The value of Coulomb's constant is 8.98755 × 109 N·m2/C2 and the acceleration due to gravity is 9.8 m/s Answer in units of N/m

Explanation / Answer

Attractive Force betwee them , F = k*q1q2/r^2
F = (8.98755 * 10^9 * (1.6 * 10^-19)^2) / (2.12 * 10^-6)^2
F = 5.12 * 10^-17 N

Compression x = 1.4/100 * 2.12 * 10^-6
x = 2.968 * 10^-8 m

Spring Force, F = k*x
5.12 * 10^-17 = k *  2.968 * 10^-8
k = 1.725 * 10^-9 N/m
Spring Constant, k = 1.725 * 10^-9 N/m

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