Water flows steadily through a fire hose and nozzle. The hose is \(75-\mathrm{mm}-\mathrm{ID}\), and the nozzle tip is \(35-\mathrm{mm}-\mathrm{ID}\); water gage pressure in the hose is \(510 \mathrm{kPa}\), and the stream leaving the nozzle is uniform. The exit speed and pressure are \(32 \mathrm{~m} / \mathrm{s}\) and atmospheric, respectively. Find the force transmitted by the coupling between the nozzle and hose. Indicate whether the coupling is in tension or compression.