Consider a length of pipe bent into a \(U\)-shape. The inside diameter of the pipe is \(0.5 \mathrm{~m}\). Air enters one leg of the pipe at a mean velocity of \(100 \mathrm{~m} / \mathrm{s}\) and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. The pressure of the flow at the inlet and exit is the ambient pressure of the surroundings. Calculate the magnitude and direction of the force exerted on the pipe by the airflow. The air density is \(1.23 \mathrm{~kg} / \mathrm{m}^{3}\).