Tension acceleration train problem

In summary, the question asks for the pull in Newtons on the last car of a train consisting of two cars, with a mass of 850kg and friction of 680N on the last car and a mass of 1700kg on the other car. The engine has a mass of 6000kg and a pull of 1000N. The solution involves calculating the acceleration using the equation F=ma and then using T1-f=ma to find T1, but it is important to consider the physics of the problem and whether friction adds to or subtracts from the pull.
  • #1
cheez
26
0
Find the pull in Newtons on the last car of this train. There are two cars. The last car has a mass of 850kg and friction (brakes) of 680N. The other car has a mass of 1700kg. the engine has a mass of 6000kg and a pull of 1000N
Let T1 be the pull on the last car of the train
I tried to solve this problem by calculate the acceleration first. I used this equation F=ma a=F/M = (1000N)/(6000kg+850kg+1700kg)
And then I used T1-f = ma T
1-680n = 850kg x a from the above answer

But I didn't get the answer. Can anyone point out my mistake? thanks so much!
 
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  • #3
Think about the physics of the problem. Would friction add to or subtract from the pull on the last car?
 

1. What is the tension acceleration train problem?

The tension acceleration train problem is a physics problem that involves calculating the tension force in a cable or rope connecting two objects, such as a train and a locomotive, as the train accelerates. This problem is commonly used in introductory physics courses to demonstrate the application of Newton's laws of motion.

2. What are the key equations used to solve the tension acceleration train problem?

The two key equations used to solve the tension acceleration train problem are Newton's second law, which states that the net force on an object is equal to its mass multiplied by its acceleration, and the formula for calculating tension, which is T = mg + ma, where T is the tension force, m is the mass of the object, g is the acceleration due to gravity, and a is the acceleration of the object.

3. How do you approach solving a tension acceleration train problem?

To solve a tension acceleration train problem, you first need to draw a free body diagram that shows all the forces acting on the objects involved. Then, you can apply Newton's second law and the tension formula to set up and solve equations for the unknown variables. It is important to carefully consider the direction of each force and use proper units in calculations.

4. What factors can affect the tension force in a tension acceleration train problem?

The tension force in a tension acceleration train problem can be affected by several factors, including the mass of the objects, the acceleration of the objects, and the angle at which the cable or rope is pulling. Other factors, such as friction and air resistance, may also play a role in more complex problems.

5. How is the tension acceleration train problem related to real-world scenarios?

The tension acceleration train problem is often used to model real-world scenarios, such as a tow truck pulling a car or a cable supporting a hanging object. By understanding the principles behind this problem, scientists and engineers can design systems and structures that can withstand tension forces and ensure safety and stability in various situations.

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