Calculating Tension: Force P and Mass m in a Toy Car Train System

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In summary, the conversation discusses the tension force of a string connecting a boy and a train of four toy cars. It is determined that with no friction, the tension force would be zero and the cars would move at a constant velocity with the boy's force P. However, there is confusion about whether or not there would always be some tension in the string, even with zero friction.
  • #1
7bear
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1. Suppose that a boy is pulling(Force: P) a train of 4 toy cars(The boy and toy cars are linked with a string) at a constant velocity.
The mass of each car is m kg. If friction is negligible, what is the tension of the string?
Is it equal to force P? That's my guess...
 
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  • #2
no man...apply the free-body diagrams...and see for yourself...the tension varies in evry wire...
 
  • #3
The tension force should be zero because you are neglecting friction, and the cars are moving at constant velocity.
 
  • #4
If the boy pulls with a force P and there is no friction, how is it moving at constant velocity? (Unless P = 0, of course. :confused: )
 
  • #5
ArmoSkater87 said:
The tension force should be zero because you are neglecting friction, and the cars are moving at constant velocity.

With constant velocity, we can safely change "should be" to "is". The boy only needs to pull to get it started from zero mouvement and then to keep it going if there is friction. That's why wheels were invented. And that's why I'm confident Summer will be back next year.
 
  • #6
Doc Al said:
If the boy pulls with a force P and there is no friction, how is it moving at constant velocity? (Unless P = 0, of course. :confused: )

It was a riddle yeah! P=0 :biggrin:
 
  • #7
Wouldn't there always be tension in the string? I mean, it cannot just float in midair, can it? If we neglect gravity completely, as zero friction would seem to suggest, then there would be no tension in the string, but otherwise there would have to be some tension in the string, otherwise it wouldn't be real! I am thinking specifically of a hanging cable and how (if I remember correctly) it hangs in the shape of a parabola under the influence of gravity and no other forces. Hmmm, so how do you make the string have no tension? Maybe you would just place it on a horizontal, flat, frictionless surface too! :rolleyes:
 

FAQ: Calculating Tension: Force P and Mass m in a Toy Car Train System

What is tension and why is it important in a toy car train system?

Tension is the force applied by a string, rope, or cable on an object. In a toy car train system, tension is important because it is responsible for pulling the train along the track. Without enough tension, the train would not be able to move.

How do you calculate tension in a toy car train system?

Tension can be calculated using the formula T = F/m, where T is tension, F is the force applied on the train, and m is the mass of the train. This formula is based on Newton's Second Law of Motion, which states that force is equal to mass times acceleration.

What is the role of force in calculating tension?

Force is a crucial factor in calculating tension because it is the force applied on the train that creates the tension in the string or cable. The greater the force applied, the greater the tension will be.

How does the mass of the train affect tension in a toy car train system?

The mass of the train is directly proportional to the tension in a toy car train system. This means that as the mass of the train increases, the tension in the string or cable also increases. This is because a heavier train requires more force to move it, resulting in a higher tension.

Are there any other factors that can affect tension in a toy car train system?

Yes, there are other factors that can affect tension in a toy car train system. These include the length and thickness of the string or cable, as well as any external forces acting on the train, such as friction or air resistance. These factors should be taken into consideration when calculating tension in a toy car train system.

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