Steam flows steadily through an adiabatic turbine. the inlet conditions of the steam are 4 mpa, 500°c, and 80 m/s, and the exit conditions are 30 kpa, 92 percent quality, and 50 m/s. the mass flow rate of the steam is 12 kg/s. determine (a) the change in kinetic energy, (b) the power output, and (c) the turbine inlet area

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.