8. A rail vehicle with a rocket engine is being tested on a smooth track. Starting from rest the engine is fired for
a short period of time, releasing 4.5 x 102 kg of gases. It is estimated that the average velocity of the gases is
1.4 x 10³ m/s to the right, and that the maximum velocity of the vehicle is 45 m/s left. What is the mass of the
vehicle?