On a level track a locomotive applies a constant forward force to a train consisting…
PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
On a level track a locomotive applies a constant forward force F to a train consisting of the locomotive and n identical freight cars, each of mass m. Every car—including the locomotive—experiences a rolling resistance force of magnitude kmg opposite the motion, where k is a dimensionless constant (k<1). No other horizontal forces act. Derive an expression for the magnitude of the train’s acceleration in terms of F, n, m, k, and g.