$3.($Exercise; Section $11\mathrm{.}3)$ A proton is traveling to the right at $0\mathrm{.}22$ c$.$ A carbon nucleus, which has $12-$times the mass of the proton is traveling to the left at $0\mathrm{.}11$ c along the same axis. The two collide and stick together. Take c $=3\mathrm{.}0108$m$/$s and ignore relativistic effects. Take the mass of the proton to be $1\mathrm{.}6710-27$kg$.$

a$.$ In which direction does the combined carbon$+$proton nucleus go$?$