A test spring is being evaluated for use in shock absorbers in an automobile before production. A model car with a mass of $275$ kg is suspended from the test spring. The car rocks up and down, making $10$ oscillations in $7\mathrm{.}5$ seconds. Calculate the spring constant of the spring.

A$)3\mathrm{.}87\frac{N}{m}$

B$)19380\frac{N}{m}$

C$)1\mathrm{.}94{10}^8\frac{N}{m}$

D$)14480\frac{N}{m}$

E$)193\mathrm{.}7\frac{N}{m}$