Please help me with below question and what is the finalanswer? Whiplash injurie

Question

Please help me with below question and what is the finalanswer? Whiplash injuries are due to shear stresses. In arear-end collision, if impact time is 0.010 sec what is the minimumvelocity at which there is danger from neck fracture? Assume thearea of the cervical vertebra is 1.0 cm2 and the mass ofthe head is 5.0 kg. Use 2.75 x 107 N/m2 forultimate shear strength of bone. Please help me with below question and what is the finalanswer? Whiplash injuries are due to shear stresses. In arear-end collision, if impact time is 0.010 sec what is the minimumvelocity at which there is danger from neck fracture? Assume thearea of the cervical vertebra is 1.0 cm2 and the mass ofthe head is 5.0 kg. Use 2.75 x 107 N/m2 forultimate shear strength of bone.

Explanation / Answer

Impulse F t = (m v) or F t = mv   where t and v are initially zero Shear stress   S = F / A    where Fis parallel to A v = F t / m = A S t / m    substituting for Ffrom the 1st equation v = 1 * 10E-4 * 2.75 * 10E7 * .01 / 5 = 5.5 m / s

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