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a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a horizontal track . If the engine exerts a force of 40000 newton and the track offers a friction force of 5000 newton then calculate?
Verified Answer
?a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a hor...
Force exerted by the engine is 40000 N.
The opposing frictional force = 5000 N
Therefore, net accelerating force = 40000 – 5000
= 35000 N
b) Mass of 5 wagons totally = 5 * 2000
= 10000 kg
Net accelerating force = 35000 N
Therefore, the acceleration of the train = Force/Mass
= 35000/10000
= 3.5 m/s^2
c) Total mass pulled by wagon 1 = 2000 * no of remaining wagons except wagon 1
= 2000 * 4
8000 kg
Therefore, force exerted by wagon 1 on wagon 2 = Mass pulled by wagon 1 * acceleration
= 8000 * 3.5
= 28000 N
This question is part of UPSC exam. View all Class 9 courses
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?a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a hor...
Problem:
A 8000 kg engine pulls a train of 5 wagons, each weighing 2000 kg, along a horizontal track. The engine exerts a force of 40000 newtons, and the track offers a friction force of 5000 newtons. Calculate the acceleration of the train.
Solution:
Step 1: Identify the forces acting on the train:
- Force exerted by the engine (F_engine) = 40000 N
- Friction force offered by the track (F_friction) = 5000 N
- Weight of the engine (W_engine) = mass x acceleration due to gravity = 8000 kg x 9.8 m/s^2
- Weight of each wagon (W_wagon) = 2000 kg x 9.8 m/s^2
Step 2: Calculate the total weight of the train:
- Total weight of the train (W_total) = W_engine + (5 x W_wagon)
Step 3: Calculate the net force acting on the train:
- Net force (F_net) = F_engine - F_friction
Step 4: Calculate the acceleration of the train:
- Using Newton's second law of motion: F_net = mass x acceleration
- Rearranging the equation to solve for acceleration: acceleration = F_net / mass
Step 5: Substitute the known values and calculate the acceleration:
- Substitute the values of F_net and mass into the equation from step 4.
Final Answer:
The calculated acceleration of the train can be obtained by substituting the known values into the equation from step 4.
A 8000 kg engine pulls a train of 5 wagons, each weighing 2000 kg, along a horizontal track. The engine exerts a force of 40000 newtons, and the track offers a friction force of 5000 newtons. Calculate the acceleration of the train.
Solution:
Step 1: Identify the forces acting on the train:
- Force exerted by the engine (F_engine) = 40000 N
- Friction force offered by the track (F_friction) = 5000 N
- Weight of the engine (W_engine) = mass x acceleration due to gravity = 8000 kg x 9.8 m/s^2
- Weight of each wagon (W_wagon) = 2000 kg x 9.8 m/s^2
Step 2: Calculate the total weight of the train:
- Total weight of the train (W_total) = W_engine + (5 x W_wagon)
Step 3: Calculate the net force acting on the train:
- Net force (F_net) = F_engine - F_friction
Step 4: Calculate the acceleration of the train:
- Using Newton's second law of motion: F_net = mass x acceleration
- Rearranging the equation to solve for acceleration: acceleration = F_net / mass
Step 5: Substitute the known values and calculate the acceleration:
- Substitute the values of F_net and mass into the equation from step 4.
Final Answer:
The calculated acceleration of the train can be obtained by substituting the known values into the equation from step 4.
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?a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a horizontal track . If the engine exerts a force of 40000 newton and the track offers a friction force of 5000 newton then calculate? 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 ?a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a horizontal track . If the engine exerts a force of 40000 newton and the track offers a friction force of 5000 newton then calculate? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?a 8000 kg engine pulls a train of 5 wagons each of 2000kg along a horizontal track . If the engine exerts a force of 40000 newton and the track offers a friction force of 5000 newton then calculate?.
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