A locomotive engine of mass 1.80*10^5kg starts from rest on horizontal train tracks. The locomotive takes 25 minutes (1500 seconds) to reach maximum speed. The graph in the attached image shows the net external force acting on the locomotive as a function of time.
a. Calculate the final speed of the locomotive at the end of the 25 minutes. Show calculations and provide explanations, referencing the graph.
b. While coasting down the tracks, the locomotive collides with train car A which was at rest and has a mass of 3.70*10^3kg. After the collision, train car A now travels at 66.4m/s. Calculate the velocity of the locomotive after the collision.
c. Train car A continues down the track for 400m where it collides with train car B in such a way that the two cars travel together along the track. The mass of car B is 7.40*10^3kg. The speed of car A just before the collision is 66.4m/s. Calculate the velocity of the car A and car B combination as it continues down the track.
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