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

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In a scenario where a boy pulls a train of four toy cars at constant velocity with negligible friction, the tension in the string connecting them is a point of debate. Some argue that if the cars are moving at constant velocity, the tension must be zero, as the pulling force P would also need to be zero. Others contend that there must always be some tension in the string to prevent it from floating in midair, especially when considering real-world physics like gravity. The discussion highlights the complexities of tension in strings under different conditions, including the effects of friction and gravity. Ultimately, the conclusion is that while the tension may vary, it cannot simply be disregarded in practical scenarios.
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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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no man...apply the free-body diagrams...and see for yourself...the tension varies in evry wire...
 
The tension force should be zero because you are neglecting friction, and the cars are moving at constant velocity.
 
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: )
 
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.
 
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:
 
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:
 
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