A barge with mass {eq}1.7 \times 10^5 {/eq) kg is proceeding downriver at 6.1 m/s in heavy fog when it collides broadside with a barge heading directly across the river. The second barge has mass {eq)2.83 \times 10^5 (/eq) kg and was moving at 4.2 m/s. Immediately after impact, the second barge finds its course deflected by (eq) 18^{\circ} {/eq} in the downriver direction and its speed increased to 5.0 m/s. The river current was practically zero at the time of the accident. a) What are the speed and direction of motion of the first barge immediately after the collision? b) Enter the angle of deflection from the original direction with + as a motion to its left and - as to its right. c) How much kinetic energy is lost in the collision?