3. The rocket motor shown in the figure is mounted on a test stand. (Test stand is not shown in the figure.) Fuel enters the combustion chamber at station 1

and liquid oxygen enters the combustion chamber at station 3. The gas mixture exiting the nozzle at station 2 has molecular weight equal to 32 kg/kmol. Recall that the gas constant, \boldsymbol{R}=\frac{\mathfrak{A}}{\boldsymbol{M}} where R is the universal gas constant = 8314 J/kmol-K. (a) Find the exit velocity, V2. You may assume the rocket is operating under steady conditions and that the diameter of the exit nozzle is 10.3 cm. (b) If the atmospheric pressure is 101 kPa, what force in the horizontal direction is required by the test stand to hold the rocket in place? (This force is also known as the rocket thrust.)