9) The city of Waterloo has a 1950's streamliner tourist train which takes daily trips in the summer to nearby St. Jacobs and Elmira. A volunteer engineer is coupling a car of mass 12000 kg to an engine of mass 20000 kg, which has a spring to soften the collision. The engine is moving at 1.5 m/s and it runs into the stationary car. The spring constant is 50000 N/m. The car and engine are both frictionless and there is no motive force from the engine. When the spring is maximally compressed, a clamp comes on and the car and engine move together. What is the compression of the spring? Hint: The spring stores the mechanical energy that would otherwise be lost in this collision. (Answer: 58 cm)