Question

A locomotive moves 20 wagons along a level track (horizontal plane). Each wagon has a mass of 50 tons and is subject to a frictional force f = 240v, where the speed v is in meters per second and the force f is in newtons. At the instant the train's speed is 30 km/h, the magnitude of its acceleration is 0.20 m/s^2. a) What is the coupling tension between the first car and the locomotive? b) Assuming that the stress calculated in the previous part is equal to the maximum force that the locomotive can exert on the wagons, what is the steepest incline that the locomotive can pull the train down at 30 km/h?

          A locomotive moves 20 wagons along a level track (horizontal plane). Each wagon has a mass of 50 tons and is subject to a frictional force f = 240v, where the speed v is in meters per second and the force f is in newtons. At the instant the train's speed is 30 km/h, the magnitude of its acceleration is 0.20 m/s^2.

a) What is the coupling tension between the first car and the locomotive?
b) Assuming that the stress calculated in the previous part is equal to the maximum force that the locomotive can exert on the wagons, what is the steepest incline that the locomotive can pull the train down at 30 km/h?

Added by Jeffrey C.

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