A train having 60 compartment is pulled by engine with force 6x10000N....
Given information:
- Number of compartments: 60
- Force exerted by the engine: 6x10000N
- Mass of each compartment: 4000kg
To find:
- Tension in the coupling between the 40th and 41st compartment.
Explanation:
Step 1: Calculate the total force exerted by the engine:
Since the force exerted by the engine is given as 6x10000N, we can calculate the total force exerted by the engine as follows:
Total force = Force per compartment x Number of compartments
Total force = 6x10000N x 60 = 360000N
Step 2: Calculate the total mass of the train:
To calculate the total mass of the train, we need to multiply the mass of each compartment by the number of compartments:
Total mass = Mass per compartment x Number of compartments
Total mass = 4000kg x 60 = 240000kg
Step 3: Apply Newton's second law of motion:
According to Newton's second law of motion, the force exerted on an object is equal to the mass of the object multiplied by its acceleration. In this case, the force exerted on the coupling between the 40th and 41st compartment is equal to the tension in the coupling. Therefore, we can write the equation as follows:
Tension = Force / Mass
Step 4: Calculate the tension in the coupling:
Using the values calculated in the previous steps, we can calculate the tension in the coupling as follows:
Tension = 360000N / 240000kg = 1.5N/kg
Conclusion:
The tension in the coupling between the 40th and 41st compartment is 1.5N/kg.
A train having 60 compartment is pulled by engine with force 6x10000N....
20000