It is accelerating in the turn.
what force from what object is being used to cause its momentum to change that causes it to accelerate?
it cant supply the force to change its momentum so it cant change its velocity itself so it cant accelerate itself.
wasnt it newton who said that an object will remain in a straight line unless a external force is applied to change its direction.
We know it's accelerating because its velocity is changing.
as far as I can tell we havent agreed on a force that will cause its velocity to change , therefore we dont know that its accelerating.
As you surely know, velocity includes speed and direction. If any part of the velocity changes then it's accelerating. Obviously direction is changing, therefore it's accelerating, therefore it's applying a force to the pipe.
in order for the mass to change velocity there must be a external force that is applied to to the mass to cause the mass to change its direction.
so , where does this force come from and what amount of force is it , and in which direction is it comming from?
you say the mass is applying a force to the pipe.
but the mass only has momentum , and momentum is not a force.
the pipe has a force because of its mass x its acceleration
f=ma
1000kg x 8 m/s/s = 8000N
the 8000N is a force that can apply itself to the mass.
but the mass does not have a force that it can apply to the pipe , it only has momentum.
p=mv
4000Ns = 100kg x 40 m/s
the 4000Ns momentum is not a force that can apply itself to the pipe.
so where is this force that you are speaking of comming from?
the mass
or
the pipe
the mass has no force it can apply.
so wouldnt it be the pipe because it has a force?
"towards the center" only sounds like a constant direction because of English. Obviously the direction of the center keeps changing. So the direction of the acceleration is also changing.
the centripetal force is in a constant direction.
and that direction is towards the center.
the direction of the force never changes it is always towards the center.
so the direction of the acceleration is always towards the center.
when the mass changes its direction it changes it towards the center.
when the mass changes its direction towards the center it is accelerated towards the center.
so the change in direction and the centripetal acceleration is always towards the center.
Its velocity does change. So it does transfer momentum with the pipe.
we dont know that yet , we havent agreed on what would cause its velocity to change.
some force has got to be applied to the mass to make it change its velocity.
so wheres the force?
Exactly! The change of means the velocity is changing
velocity is not a force.
That's because direction is part of velocity.
direction is not a force.
and mass is not a force.
so where is the force?
Note: I use the word "obviously" to show that an idea can easily be seen from common sense.
is that a theory you have?
common sence has nothing to do with math.
If you can't see it then you must be looking for the wrong thing. In other words, if it's not obvious to you, then you're probably overthinking it or misunderstanding me.
in math you need elements to include in equations.
you cant just use your common sence in an equation.
it does not matter if something is obvious or not.
common sense and thinking can not be used to cause a mass to have a change in momentum or velocity or direction or acceleration.
but a applied force can , wheres the force?
heres a pretty good definition of force
http://en.wikipedia.org/wiki/Force In physics, a force is any influence that causes an object to undergo a change in speed, a change in direction, or a change in shape. Force can also be described by intuitive concepts such as a push or pull that can cause an object with mass to change its velocity (which includes to begin moving from a state of rest), i.e., to accelerate, or which can cause a flexible object to deform. A force has both magnitude and direction, making it a vector quantity. Newton's second law, F=ma, was originally formulated in slightly different, but equivalent terms: the original version states that the net force acting upon an object is equal to the rate at which its momentum changes.
so from what I can see what we have is the following.
the force and momentum associated with the pipe that will be involved in the collision.
note: the pipe would normaly have an acceleration of
8 m/s/s because there are 100 100kg masses being accelerated and decelerated every second and the force that accelerates and decelerates the 100 masses
is f=ma = (100 masses x 100 kg) x .8 m/s/s = 8000N
so the force that the pipe could normaly apply to an object would be 8000N after 101 seconds.
so the pipe would normaly have a momentum of
p=mv = 1000 kg x +80 m/s = +8000Ns
but thats not what we have because there is a
single 100 kg mass going through the turn each second.
the force and momentum associated with the 100 kg mass that will be involved in the collision.
mass momentum = p=mv = 100 kg x -40 m/s = -4000Ns
mass force = f=ma =100 kg x .8 m/s/s = 80N
