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An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a frictional 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?
Verified Answer
An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along...
 Given, force of engine = 40000 N

Force of friction = 5000 N
Mass of engine = 8000 kg
Total weight of wagons = 5 x 2000 kg = 10000 kg

(a) The net accelerating force 
= Force exerted by engine – Force of fricition
= 40000 N – 5000 N = 35000 N

(b) The acceleration of the train
We know that, F = mass x acceleration
Or, 35000 N = (mass of engine + mass of 5 wagons) X a
Or, 35000 N = (8000 kg + 10000 kg) X a
Or, 35000N = 18000 kg X a


Thus, (a) The net accelerating force = 35000N

(b) The acceleration of train = 1.944 ms–2

(c) The force of wagon 1 on 2 = 1552 N
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Most Upvoted Answer
An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along...
The Net Accelerating Force:
The net accelerating force is the difference between the force exerted by the engine and the frictional force offered by the track. In this case, the force exerted by the engine is 40000 N and the frictional force offered by the track is 5000 N. Therefore, the net accelerating force can be calculated as follows:
Net Accelerating Force = Force Exerted by Engine - Frictional Force
Net Accelerating Force = 40000 N - 5000 N
Net Accelerating Force = 35000 N

The Acceleration of the Train:
The acceleration of the train can be calculated using Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, the mass of the engine is 8000 kg and the mass of each wagon is 2000 kg. Therefore, the total mass of the train can be calculated as follows:
Total Mass of Train = Mass of Engine + (Number of Wagons × Mass of Each Wagon)
Total Mass of Train = 8000 kg + (5 × 2000 kg)
Total Mass of Train = 8000 kg + 10000 kg
Total Mass of Train = 18000 kg

Now, we can calculate the acceleration of the train using the formula:
Acceleration = Net Accelerating Force / Total Mass of Train
Acceleration = 35000 N / 18000 kg
Acceleration ≈ 1.944 m/s²

The Force of Wagon 1 on Wagon 2:
To determine the force of wagon 1 on wagon 2, we need to consider the action-reaction principle of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the force exerted by wagon 1 on wagon 2 is equal in magnitude but opposite in direction to the force exerted by wagon 2 on wagon 1.

Since the train is moving in a straight line with a constant acceleration, the force of wagon 1 on wagon 2 can be calculated using the formula:
Force of Wagon 1 on Wagon 2 = Mass of Wagon 2 × Acceleration
Force of Wagon 1 on Wagon 2 = 2000 kg × 1.944 m/s²
Force of Wagon 1 on Wagon 2 ≈ 3888 N

Therefore, the force of wagon 1 on wagon 2 is approximately 3888 N.
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An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a frictional 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?
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An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a frictional 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? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a frictional 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? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An 8000kg engine pulls a train of 5 wagons, each of mass 2000kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a frictional 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?.
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