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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.

A
2.5 m/s2
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B
2.25 m/s2
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C
3.5 m/s2
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D
3.25 m/s2
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Solution

## The correct option is B 2.25 m/s2Total mass of train, M=Mengine+4Mwagon M=10,000+4×2500 M=20,000 kg Net force acting on the train is: Fnet=Ftrain−Ffriction Fnet=(50−5) 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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