Tiny Spring: A tiny silica bead attached to a strand of DNA can be used to study the mechanical properties of DNA. The system can be approximated as a mass on a spring constrained to move in one dimension. In one such experiment, a bead of mass 7.8 x 10-15 kg was attached to a strand of DNA with 1623 base pairs and observed for 720 seconds. (a) If the root mean square velocity of the bead is 7.56 x 14 m/s, at what temperature was the experiment carried out? (b) If the root mean square displacement of the particle is measured to be 1.18 x 10- m, what is the spring constant of the DNA molecule?
Tiny Spring: A tiny silica bead attached to a strand of DNA can be used to study the mechanical properties of DNA. The system can be approximated as a mass on a spring constrained to move in one dimension. In one such experiment, a bead of mass 7.8 x 10-15 kg was attached to a strand of DNA with 1623 base pairs and observed for 720 seconds. (a) If the root mean square velocity of the bead is 7.56 x 14 m/s, at what temperature was the experiment carried out? (b) If the root mean square displacement of the particle is measured to be 1.18 x 10- m, what is the spring constant of the DNA molecule?
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Transcribed Image Text:Tiny Spring: A tiny silica bead attached to a strand of DNA can be used to study the mechanical properties of
DNA. The system can be approximated as a mass on a spring constrained to move in one dimension.
In one such experiment, a bead of mass 7.8 × 10¬15 kg was attached to a strand of DNA with 1623 base
pairs and observed for 720 seconds.
(a) If the root mean square velocity of the bead is 7.56 x 10-4 m/s, at what temperature was the experiment
carried out?
(b) If the root mean square displacement of the particle is measured to be 1.18 × 10-7
m, what is the spring
constant of the DNA molecule?
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