The short-range (\ensuremath{\lesssim}10\ensuremath{\mu}) mesonic hyperfragments produced by 1.1-BeV/c ${K}^{\ensuremath{-}}$ mesons and 2.3-BeV/c ${K}^{\ensuremath{-}}$ mesons in $K5$ nuclear emulsions have been studied in order to estimate the potential-well depth of the $\ensuremath{\Lambda}\ensuremath{-}N$ interaction. Among more than 261 000 ${K}^{\ensuremath{-}}$ interactions examined, we have observed 70 mesonic decays, which consist of 41 heavy hyperfragments, 28 light hyperfragments, and one ${\ensuremath{\pi}}^{+}$ decay. Based on eight ${\ensuremath{\pi}}^{\ensuremath{-}}\ensuremath{-}p\ensuremath{-}r$ decays ($r$ indicates residual nucleus) in the lower region of a plot of binding energy versus mass, the upper limit of the potential-well depth of the $\ensuremath{\Lambda}\ensuremath{-}N$ interaction was estimated to be 27.7\ifmmode\pm\else\textpm\fi{}0.6 MeV, assuming a square-well potential. A further elaboration of a more accurate estimate of the binding energy and consequently derived potential-well depth is discussed. The nonmesonic-to-${\ensuremath{\pi}}^{\ensuremath{-}}$-mesonic decay ratio of the heavy hyperfragments ($A=65\ifmmode\pm\else\textpm\fi{}40$) was estimated to be 153\ifmmode\pm\else\textpm\fi{}27. This value agrees fairly well with the theoretical ratio 130 at $A=100$, estimated by Dalitz. The study of 28 light-hyperfragment events indicates that (75\ifmmode\pm\else\textpm\fi{}22)% of the light hyperfragments originated in light nuclei (O, N, C).