A $98\mathrm{.}9$ g wire is held under a tension of $2300$ N with one end at $x=0$ and the other at $x=13\mathrm{.}7m.$ At time $t=0,$ pulse $1$ is sent along the wire from the end at $x=13\mathrm{.}7m.$ At time $t=13\mathrm{.}5ms,$ pulse $2$ is sent along the wire from the end at $x=0.$ At what position $x$ do the pulses begin to meet?

Number $$ Units