A $50$ g bullet moving with an initial speed of $Vi=450\frac{m}{s}$ is fired into and passes through a $2\mathrm{.}00-kg$ block, as in Figure The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant $1900\frac{N}{m}.$ If the block moves $1$ cm to the right after impact, find the kinetic energy loss after this collision.

A$)252$ J

B$)789$ J

C$)0\mathrm{.}6$ J

D$)813$ J

E$)1302$J