Question

a 800g engine pulls a train of wagons each of 2000kg along a hanzantal track if the engine expect a force of 4000n and the track offers aforce of friction of 5000n then calculate (1) the net accelerating force​

Answer 1

Mass of the engine = 8000 kg 

Mass of each wagon = 2000 kg, 

Np. of wagons = 5 

Total mass of train = 8000+2000×5= 18000 kg 

Force, F = 40000 N 

Track resistance , R = 5000 N 

Total accelerating force = F −R =40000−5000=35000 N 

Let acceleration = x m/s² 

Acceleration , = Accelerating force / mass 

x=35000/18000= 35/18=1.94 m/s² 

Frictional resistance of 4 wagons = 5000×(2000×4)/18000 =2222 .22 N 

Accelerating force on 4 wagons =2000×4×1.944 =15552 N 

Hence total force exertred by wagon on wagon 2= Accelerating force +Frictional resistance 

=2222 .22 +15552=17774.22 N 

Total force required to produce acc

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Answer 2

17774.22 is the answer