I think I understand, but where do you find force?

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To find the coefficient of kinetic friction for a train stopping from 30 m/s in 30 seconds, the acceleration must first be calculated using kinematic equations. The force required to stop the train, derived from F=ma, is 10,000 N. This force is then equated to the frictional force using the equation Ff = μN, where N is the normal force (mg). The resulting coefficient of kinetic friction is approximately 0.102. The discussion highlights the importance of understanding forces in different directions and the role of friction in stopping motion.
Laura0901

Homework Statement


Find the coefficient of kinetic friction that is used to stop a train engine along its track of the trains velocity is 30 m/s when the brakes are applied, and it takes 30 sec for the 10,000 kg train to stop

Homework Equations


Ffric=MN=Mmg
(I think that's the equation to use.

The Attempt at a Solution


Ffric=M(10000kg)(9.8m/s)
Ffric=M(98,000)
What do you use for the force? 30m/s?
 

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Laura0901 said:

Homework Statement


Find the coefficient of kinetic friction that is used to stop a train engine along its track of the trains velocity is 30 m/s when the brakes are applied, and it takes 30 sec for the 10,000 kg train to stop

Homework Equations


Ffric=MN=Mmg
(I think that's the equation to use.

The Attempt at a Solution


Ffric=M(10000kg)(9.8m/s)
Ffric=M(98,000)
What do you use for the force? 30m/s?
Hello Laura0901. Welcome to PF !

What is the acceleration of the train ?
 
It is not said in the problem.
 
Laura0901 said:
It is not said in the problem.
Of course you must figure it out from the given information.
 
And how would you do that? Using the kinematic equations?
 
Why would we need to find the acceleration? I need the friction force.
 
Laura0901 said:
Why would we need to find the acceleration? I need the friction force.
And, just what force is it that is slowing the train?
 
Either gravity or velocity..I think.
 
Laura0901 said:
Either gravity or velocity..I think.
The train slows to a stop. That's an acceleration. That requires a force. (Ask Mr. Newton.)

Gravity is a force, but it acts in a vertical, the train's motion and its acceleration are in the horizontal direction. Gravity is not the force which slows the train.

Velocity is not a force.
 
  • #10
1) Figure out the force in the x-direction that SammyS is talking about, the force that causes the train to stop.
2) Use kinematics to find a
3)Use Fx=max to find the magnitude of the force mentioned in step one
Then you should have enough data to solve Ffric=M(98,000)
 
  • #11
Thanks for trying to help me understand
 
  • #12
There aren't any forces in the x direction. I don't think length is a force. I don't know how to find friction.
 
  • #13
Laura0901 said:
There aren't any forces in the x direction. .
Then the train's going to keep going in the x direction.

By the way: What direction is the friction force ?
 
  • #14
The Positive direction
 
  • #15
Is it 2N?
 
  • #16
Laura0901 said:
The Positive direction

Positive in what sense?
Positive x-direction?
or
Positive as in upward?
 
  • #17
The x direction, it is horizontal
 
  • #18
Okay... I hope you are asking if fk is 2N because M is not in Newtons. I don't think fk=2N either though...
 
  • #19
stephen8686 said:
Okay... I hope you are asking if fk is 2N because M is not in Newtons. I don't think fk=2N either though...
Right. It would take very long time to stop.
 
  • #20
Ughh I'm so bad at everything sorry guys.
 
  • #21
I don't understand how you'd even get a number just because it's a horizontal force?
 
  • #23
I think I understand friction now thanks for the video.
 
  • #24
So is air resistance part of it?
 
  • #25
Laura0901 said:
So is air resistance part of it?
Probably not much. The friction force is stopping a train.

Calculate the acceleration as has been suggested previously.
 
  • #26
I got one by using v=at
 
  • #27
I'm so bad at this :/
 
  • #28
Air resistance is a totally different thing. You'll learn that later in physics. Until then, assume there is no air resistance. Kinetic friction is between two objects sliding on each other.
 
  • #29
I agree a=1 (or -1 depending on your positive x direction).
 
  • #30
Thank you for your time. If I get this problem wrong on the quiz, I'll get a 75%. I'll take that..
 
  • #31
Laura0901 said:
I got one by using v=at
Well what did you get?
 
  • #32
I used F=ma so: F=(10,000kg)(1)= 10,000
 
  • #33
Which I think is definitely wrong! I don't see how to use acceleration in the equation F=Mmg..
 
  • #34
Laura0901 said:
I used F=ma so: F=(10,000kg)(1)= 10,000
Why is that wrong? (Except of course you left the units off.) 10,000 N

Now use you "friction" equation: Ff = μN = μmg.
 
  • #35
10,000 N is the force?
 
  • #36
I used that friction formula to get:
10000=M(10000)(9.8)
 
  • #37
Laura0901 said:
10,000 N is the force?
That's the force required to stop a 10,000kg train in 30 seconds if it was traveling at 30 m/sec. Friction is the force that's employed to stop the train.
 
  • #38
which equaled to .1020408163
 
  • #39
Which doesn't have units because it's a coefficient
 
  • #40
Laura0901 said:
which equaled to .1020408163
That seems reasonable.

In the future, try to use the "reply" feature to respond to a particular post.
 
  • #41
Sorry. I'm using the web version on a device. I think I am using the Reply now!
 
  • #42
Wait no I'm not. Well thank you SO MUCH for helping. You're amazing. Thanks for staying around and helping me even though I didn't understand at all
 
  • #43
No problem. Glad you understand
 
  • #44
Do you mind checking out my other question about checking my answers? If not it's okay.
 
  • #45
Sure I have plenty of time
 
  • #46
Thank you!
 
  • #47
Wait where's your other question?
 
  • #48
They deleted my question! Ugh! But it is okay. I got help from my teacher lol thanks anyways! :)
 
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