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Question

A 10,000 kg engine exerts a force of 50 kN, to pull 4 wagons along the track as shown. If the track offers an opposing frictional force of 5 kN, calculate the acceleration of the train.

  1. 2.5 m/s2
  2. 3.25 m/s2
  3. 2.25 m/s2
  4. 3.5 m/s2


Solution

The correct option is C 2.25 m/s2
Total mass of train,
M=Mengine+4Mwagon
M=10,000+4×2500
M=20,000 kg

Net force acting on the train is:
Fnet=FtrainFfriction
Fnet=(505) kN
Fnet=45 kN

Applying Newton’s second law,
Fnet=Ma
45kN=20000a
a=4500020000
a=2.25 m/s2

Therefore, the acceleration of the train is 2.25 m/s2.

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