When a carbon dioxide molecule attaches to a molecule of hemoglobin, the bond th

Question

When a carbon dioxide molecule attaches to a molecule of hemoglobin, the bond that forms between them immediately starts vibrating. The vibrating bond can be treated as a spring with a mass (the carbon dioxide molecule) vibrating in simple harmonic motion. What is the vibration frequency of the bond if the carbon dioxide molecule has speed of 2.42 m/s when hits the hemoglobin molecule, causing the bond to compress a maximum distance of 8.50 nm? ( the mass of carbon dioxide molecule is 7.31 × 10-23 g.)

Explanation / Answer

2.42 is the maximum velocity during this vibration.

In SHM, Vmax = A ; =angular frequency ; A = amplitude

= V/A = 2.847*108 rad/s2

vibrating Frequency, K = m2

= 5.925*10-6 N/m

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