We present new XMM-Newton and NuSTAR observations of the galaxy merger IRAS F05189-2524 which is classified as an ultra-luminous infrared galaxy ( ULIRG ) and optical Seyfert 2 at z = 0.0426 . We test a variety of spectral models which yields a best-fit consisting of an absorbed power law with emission and absorption features in the Fe K band . Remarkably , we find evidence for a blueshifted Fe K absorption feature at E = 7.8 keV ( rest-frame ) which implies an ultra-fast outflow ( UFO ) with v _ { \mathrm { out } } = 0.11 \pm 0.01 c . We calculate that the UFO in IRAS F05189-2524 has a mass outflow rate of \dot { M } _ { \mathrm { out } } \gtrsim 1.0 M _ { \sun } yr ^ { -1 } , a kinetic power of \dot { E } _ { \mathrm { K } } \gtrsim 8 % L _ { \mathrm { AGN } } , and a momentum rate ( or force ) of \dot { P } _ { \mathrm { out } } \gtrsim 1.4 L _ { \mathrm { AGN } } / c . Comparing the energetics of the UFO to the observed multi-phase outflows at kiloparsec scales yields an efficiency factor of f \sim 0.05 for an energy-driven outflow . Given the uncertainties , however , we can not exclude the possibility of a momentum-driven outflow . Comparing IRAS F05189-2524 with nine other objects with observed UFOs and large-scale galactic outflows suggests that there is a range of efficiency factors for the coupling of the energetics of the nuclear and galaxy-scale outflows that likely depend on specific physical conditions in each object .