A $10$ kg loggerhead sea turtle has a lung volume of $1$ L and a body volume of $9\mathrm{.}5$ L $($lungs empty$)$ or $10\mathrm{.}5$ L $($lungs full$).$ Assume a water density of $1$ kg$/$L$.$ The sea turtle fills its lungs on the surface; how much buoyant force is preventing it from sinking $($after subtracting gravity$)?$