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An 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate (a) the net accelerating force (b) the acceleration of the train (c)the force of wagon 1 on wagon 2.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The net accelerating force is 35000 N, the acceleration of the train is 1.944 m/s2 and the force of wagon 1 on wagon 2 is 15552 N. Steps to calculate (a) the net accelerating force (b) the acceleration of the train (c) the force of wagon 1 on wagon 2.
Step 1: It is given that
Total number of wagons n = 5
Mass of engine M = 8000 kg
Mass of each wagon m = 2000 kg
The frictional force of the tracks f = 5000 N
Force exerted by the engine F = 40000 N
Step 2: Now we have to find the net force
Consequently, the train’s net accelerating force can be expressed as
Fnet = F – f
Substituting the values we get
= 40000 – 5000
On simplifying we get
= 35000 N
Step 3: Now we have to calculate the Acceleration of the train
The total mass of the train is
mt = M + nm
Substituting we get
= 8000 + 5 x 2000
On simplifying we get
= 18000 kg
Consider as the acceleration of the train
The net force is
Fnet = mt a
On rearranging we get
a = Fnet/mt
a = 35000/18000
a = 1.944 m/s2
Step 4: Now, force is applied between wagons 1 and 2
The force applied to wagon 2 by wagon 1 is
F21 = 4ma
= 4 x 2000 kg x 1.944 m/s2
= 15552 N
Summary:
An 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate (a) the net accelerating force (b) the acceleration of the train (c)the force of wagon 1 on wagon 2.
An 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then the net accelerating force is 35000 N, the acceleration of the train is 1.944 m/s2 and the force of wagon 1 on wagon 2 is 15552 N.