Question $5$

$5$ points

A deformation test shows that a soybean kernel will be crushed if the force imposed on it is higher than $12$ N $.$ Assume the equivalent diameter of soybean kernels is $0\mathrm{.}5$ cm and its mass is $0\mathrm{.}1$ gram. The modulus of elasticity and Poisson's ratio of soybean are $126$ MPa $,$ and $0\mathrm{.}35,$ respectively. What is the minimum velocity to crush the soybean kernel when it collides with a steel surface?

A$.6\mathrm{.}964\frac{m}{s}$

B$.3\mathrm{.}3\frac{m}{s}$

C$.620\frac{m}{s}$

D$.11\mathrm{.}2\frac{m}{s}$