4. A limousine is 10.0 m long. according to an observer at rest with respect to the car. By driving the limousine at a speed of 0.80c relative to a garage, Carl plans to make the car fit in the garage. Dana, at rest with respect to the garage, measures the length of the garage to be 7.0 in. The garage is made of a material strong enough to survive any and all collisions with the limousine. Dene the following events: Event A: The front of the limousine passes by the entrance of the garage Event B: The front of the limousine hits the back of the garage Event C: The back of the limousine passes by the entrance of the garage (a) How long is Carl's limousine according to Dana? How long is Dana's garage according to Carl? [1]) If Dana (on frame S), and Carl [on frame 3"), synchronize their watches and coordinate systems so that IA : 1:1 : 0 at 33,; : t'A : 0, nd the spacetime coordinates for Event B in both reference frames. (c) At the same time the front of the limousine hits the hack of the garage, Dana closes the front door of the garage. Thus we can dene Event D: The front door of the garage closes. Find the spacetime coordinates for Event D in both reference frames. (d) \\Vhere is the back of the limousine when the front door of the garage is closed? ) Find the spacetime coordinates for Event C in both reference frames. (f) Relate the sequence of events as the},r happen in Dana's frame and in Carl's frame. (g) Does the limousine t inside the garage?I Explain