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Molecules like DNA may be stretched and are well modeled as springs. An optical trap can pull with a maximum force of 11\; fN11fN (femto-Newtons) and can stretch a DNA molecule by 0.06\; \mu m0.06μm . What is the spring constant of the molecule?

Respuesta :

Answer:

1.8 x 10⁻⁷ N/m

Explanation:

[tex]F_{max}[/tex] = maximum force with which the optical trap can pull = 11 x 10⁻¹⁵ N

x = stretch caused in DNA molecule due to the force = 0.06 x 10⁻⁶ m

k = spring constant of the spring

Maximum force is given as

[tex]F_{max}= k x[/tex]

[tex]11\times 10^{-15}= k (0.06\times 10^{-6})[/tex]

k = 1.8 x 10⁻⁷ N/m