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A train locomotive pulls a train with a mass of 1.00 ✕ 107 kg on level rails. The locomotive exerts a constant force of 6.70 ✕ 105 N on the train. How much time does it take to increase the speed of the train from rest to 78.0 km/h? (Ignore any resistance force from the rails on the wheels of the train. Enter your answer in minutes.)

Question

Asked Nov 2, 2019

A train locomotive pulls a train with a mass of 1.00 ✕ 10⁷ kg on level rails. The locomotive exerts a constant force of 6.70 ✕ 10⁵ N on the train. How much time does it take to increase the speed of the train from rest to 78.0 km/h? (Ignore any resistance force from the rails on the wheels of the train. Enter your answer in minutes.)

Expert Answer

Step 1

Given information:

Mass of the train (m) = 1.0 × 10⁷ Kg

Force the locomotive can exert (F) = 6.7 × 10⁵ N

Final velocity that is needed to be achieved (v) = 78 kmph

Step 2

According to Newton 2nd law the forced exer...

F = ma
Where "a" is the acceleration of the locomotive
6.7 X 105
0.067 m/s2
a
_
1.0 x107
т — Image Transcription
F = ma Where "a" is the acceleration of the locomotive 6.7 X 105 0.067 m/s2 a _ 1.0 x107 т

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