AGN-driven winds on all scales in Markarian 231 from hot nuclear ultra-fast up to kpc-extended molecular outflow

We present the best sensitivity and angular resolution maps of the molecular disk and outflow of Mrk231, obtained with IRAM/PdBI, and an analysis of archival Chandra and NuSTAR data. We constrain the physical properties of both the molecular disk and outflow, the presence of a highly-ionized ultra-fast nuclear wind, and their connection. The CO(2-1) outflow has a size of ~1 kpc, and extends in all directions around the nucleus, being more prominent along the south-west to north-east direction, suggesting a wide-angle biconical geometry. Its maximum projected velocity is nearly constant out to ~1 kpc, thus implying that the density of the outflowing material must decrease from the nucleus outwards as ~ r^-2. This suggests that either a large part of the gas leaves the flow during its expansion, or that the bulk of the outflow has not yet reached ~1 kpc, implying a limit on its age of ~ 1 Myr. The mass and energy rates of the molecular outflow are dM/dt(OF)=[500-1000] Msun/yr and dE(kin,OF)/dt=[7-10] 10^43 erg/s, its total kinetic energy is E(kin,OF)>~E(disk). Remarkably, our analysis reveals a nuclear ultra-fast outflow (UFO) with velocity ~-20000 km/s, dM(UFO)/dt=0.3-1.6 MSun/yr, and momentum load dP(UFO)/dt/(Lbol/c)=0.25-1.2. We find dE(kin,UFO)/dt~dE(kin,OF)/dt as predicted for outflows undergoing an energy conserving expansion. This suggests that most of the UFO kinetic energy is transferred to mechanical energy of the kpc-scale outflow, strongly supporting that the energy released during accretion of matter onto super-massive black holes is the ultimate driver of giant massive outflows.The momentum flux dP(OF)/dt derived for the large scale outflows in Mrk 231 enables us to estimate a momentum boost dP(OF)/dP(UFO)~ 30-50. The ratios dE(kin, UFO)/dt/L(bol,AGN) = 0.8-4% and dE(kin,OF)/dt/L(bol,AGN) = 1-3% agree with the requirements of the most popular models of AGN feedback.