How Long Until the Train Stops Moving Up the Inclined Track?

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The discussion centers on calculating the time it takes for a train to stop moving up an inclined track under specific conditions. The train consists of two cars, each weighing 11,000 kg, and is being pulled by an engine that exerts a maximum force of 160,000 N. The incline of the track is at a 22-degree angle, and the force from the engine decreases at a rate of 2.9 N per second. Given the initial speed of the train is 3.4 m/s, the problem requires understanding the dynamics of force, gravity, and acceleration to determine when the train will come to a halt. The discussion emphasizes the importance of applying physics principles to solve the problem effectively.
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I've tried as much methods as I can think of but none have been fruitful, I need help please! here's the question:
An engine is used to pull a train of two cars out of a mine. The floor slopes upward at an angle of 22 degrees. Each car has a mass of 1.1x10^4 Kg and normally travels without friction on the tracks. The engine can exert a maximum force of 1.6x10^5 N on car A. If the engineer again throttles back so that the force exerted by the engine on car A decreases at the constant rate of 2.9 N per second, how long before the train stops moving up the track? Assume the original speed was 3.4 m/s
Please don't just write the answer, try as much as possible to explain..I'm here to learn, a friend told me about this
 
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