Originally posted by: RaynorWolfcastle
<devil's advocate>
I don't really understand why you say the forces are equal: F = ma. Let's say the 250 lb lineman exerts force F1 (of mass m1) on the lighter lineman (of mass m2) that exerts F2 back where F1 > F2. This means that both linemen will begin to accelerate such that F1-F2 = (m1+m2)*a is satisfied not that F1 = F2. Either way, I understand what you meant by your question but it IS poorly worded as others have stated.
That being said, the weight of the linesmen has strictly nothing to do with the forces they exert on each other. Weight defined as "the vertical force exerted by a mass as a result of gravity" and has absolutely nothing to do with the horizontal forces being exerted unless you start considering friction and use a more complex model for where and how the forces get exerted. In the case of car and the SUV, the weight car has even less to do with anything as rolling motion is assumed and we are not concerned with the acceleration.
</devil's advocate>
Huh?? What do you mean "devil's advocate"?
If you mean you're providing an incorrect explanation for the sake of eliciting a discussion, your argument has already been discussed.
Your equation F1-F2 = (m1+m2)*a is incorrect with the forces F1 and F2 being as I described and as you described. Furthermore, F1 must equal F2.
Now, if there was a big block sitting in the middle of the field, and F1 and F2 were the forces being applied to the block (in opposite directions) by the two players, then, yes, the block would accelerate according to your equation (if there's no friction acting on the block)
However, (I'm starting to feel like a broken record) The force that player one exerts on the box = F1. The magnitude of the force the box exerts on player one is ALSO = F1. These are the equal and opposite forces that Newton was talking about. Ditto for player 2.
Equal and opposite forces have nothing to do with the net forces acting on an object. Like a lot of other people, you're probably thinking of statics.
Look at it this way. I'll strap on a pair of rollerskates. I'll go up to the wall, and while facing the wall, I'm going to push against it with a 50 Newton force.
Explain why I move backwards. You can't, unless you consider that if I push against the wall, the wall is pushing against me. And, just how hard is it pushing against me... search for the number.... 50 Newtons? Yes.
What's the force that I exert on the surface of the earth? Grab a bathroom scale, stick it under me, and it'll say somewhere around 900 Newtons. (actually, it'll give my mass in kilograms... but it's really measuring force, not mass. The manufacturer just divided by 9.8 m/s^2 so that a person could know their mass) What is the force that the earth is exerting against my feet? That's a tough one. Turn the bathroom scale upside down and measure
🙂 Ohhh, it reads the same amount?