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The motion of a train of mass 340M is opposed by a tractive resistance to motion of 190N/Mg. The train covers a total distance of 800m while accelerating during 1.5min on its way up an incline of 1 in 140 from an initial speed of 18km/h Analyse the motion and calculate:

The motion of a train of mass 340M is opposed by a tractive resistance to motion of 190N/Mg. The train covers a total distance of 800m while accelerating during 1.5min on its way up an incline of 1 in 140 from an initial speed of 18km/h Analyse the motion and calculate:

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The motion of a train of mass 340M8 is opposed by a tractive resistance to motion of 190N/Mg. The train covers a total distance of 800m while accelerating during 1.5min on its way up an incline of 1 in 140 from an initial speed of 18km/h Analyse the motion and calculate: • The magnitude of the tractive resistance to motion in N: N • The speed of the train after 1.5min up the incline, m/s The acceleration of the train, a = m/s? • The force delivered from the train engine to achieve the acceleration, Fdr = • The power output at the instant the train reaches 800m, P = W Assume the power is witched off immediately after the train has reached 800m, analyze the further part of the motions and calculate: • how long, after the initial 1.5 min will the train still move up the incline before stopping, assuming the same tractive resistance to motions with no brakes applied, At = • Calculate the variation of the potential and kinetic energies between the initial instant at 18 km/h and the moment the train stops under conditions described above, - · total elevation: m • Variation in potential Energy (with the applicable positive or negative sign) between the initial instant of observation when v = 18km/h and the final instant, at rest at the top AE,n = • The total variation of kinetic energy between the same points of reference A E, = J • What is the distance required to stop assuming brakes applied to force to train to stop in half the time required to stop in the absence of brakes (as above) all other applicable parameter remaining as above? xup = m
Transcribed Image Text:The motion of a train of mass 340M8 is opposed by a tractive resistance to motion of 190N/Mg. The train covers a total distance of 800m while accelerating during 1.5min on its way up an incline of 1 in 140 from an initial speed of 18km/h Analyse the motion and calculate: • The magnitude of the tractive resistance to motion in N: N • The speed of the train after 1.5min up the incline, m/s The acceleration of the train, a = m/s? • The force delivered from the train engine to achieve the acceleration, Fdr = • The power output at the instant the train reaches 800m, P = W Assume the power is witched off immediately after the train has reached 800m, analyze the further part of the motions and calculate: • how long, after the initial 1.5 min will the train still move up the incline before stopping, assuming the same tractive resistance to motions with no brakes applied, At = • Calculate the variation of the potential and kinetic energies between the initial instant at 18 km/h and the moment the train stops under conditions described above, - · total elevation: m • Variation in potential Energy (with the applicable positive or negative sign) between the initial instant of observation when v = 18km/h and the final instant, at rest at the top AE,n = • The total variation of kinetic energy between the same points of reference A E, = J • What is the distance required to stop assuming brakes applied to force to train to stop in half the time required to stop in the absence of brakes (as above) all other applicable parameter remaining as above? xup = m
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