• SDN Site Updates

    Hey everyone! The site will be down for approximately 2 hours on Thursday, August 5th for site updates.

chiddler

Full Member
10+ Year Member
Apr 6, 2010
2,439
4
Status (Visible)
  1. Medical Student
With a massless spring + block attached to end of spring, momentum is not conserved, is it? Because as the spring compresses, the massless spring does not absorb the momentum since it is massless. But it gives it back to the mass as it expands.

Is this right?
 

kasho11

Full Member
May 29, 2011
442
1
Status (Visible)
  1. Pre-Medical
I think you're mixing up energy and momentum. As long as there are no external forces, momentum is conserved. If this is a vertical spring where gravity affects it, momentum is not conserved. If it is a frictionless horizontal spring with no external forces, momentum is conserved.
 

chiddler

Full Member
10+ Year Member
Apr 6, 2010
2,439
4
Status (Visible)
  1. Medical Student
I think you're mixing up energy and momentum. As long as there are no external forces, momentum is conserved. If this is a vertical spring where gravity affects it, momentum is not conserved. If it is a frictionless horizontal spring with no external forces, momentum is conserved.

it's a TBR passage and here's the basic setup. maybe i'm missing the point:

Frictionless surface, horizontal spring. A block slides into a spring with a mass on its tip and attaches to it. The spring begins to oscillate.

Considering momentum and potential energy of the two masses, after the oscillation begins:
Answer: momentum is not conserved, but potential energy is.

I understand PE; their height isn't changing. I'm trying to understand momentum, though.

OH IS IT BECAUSE WE ARE ONLY CONSIDERING THE MASSES AS THE SYSTEM? and therefore the spring is not part of the system!

RIGHT?
 
About the Ads

milski

1K member
5+ Year Member
Dec 30, 2009
2,641
527
Where the rain grows
Status (Visible)
  1. Pre-Medical
Momentum is always preserved. If it seems that it is not, your system is not big enough and something is not included as part of it.

In your example, if you account for the momentum of whatever the spring is attached to at its other end (Earth?), you'll still find that momentum is preserved. Of course, that's not very useful for any practical calculations but that's a whole different story.
 

chiddler

Full Member
10+ Year Member
Apr 6, 2010
2,439
4
Status (Visible)
  1. Medical Student
Yes, it depends on what you define as the system.

ok. i misunderstood why momentum is not conserved in this question. TBR didn't provide any explanation.

Momentum is always preserved. If it seems that it is not, your system is not big enough and something is not included as part of it.

In your example, if you account for the momentum of whatever the spring is attached to at its other end (Earth?), you'll still find that momentum is preserved. Of course, that's not very useful for any practical calculations but that's a whole different story.

yes i still remember your explanation a while back with medpr and myself. but in this specific case, i was trying to rationalize it given the system consisted of spring + masses. the realization is that the question is only considering masses.

thanks for responses.
 

milski

1K member
5+ Year Member
Dec 30, 2009
2,641
527
Where the rain grows
Status (Visible)
  1. Pre-Medical
ok. i misunderstood why momentum is not conserved in this question. TBR didn't provide any explanation.



yes i still remember your explanation a while back with medpr and myself. but in this specific case, i was trying to rationalize it given the system consisted of spring + masses. the realization is that the question is only considering masses.

thanks for responses.

Not sure what you're getting at about the masses. A real spring with a mass won't change much on its own - eventually, it will compress and the momentum of the spring and the object will become zero.

I don't want to confuse you if you already understand what's going on but I don't exactly get your point about masses.
 

chiddler

Full Member
10+ Year Member
Apr 6, 2010
2,439
4
Status (Visible)
  1. Medical Student
Not sure what you're getting at about the masses. A real spring with a mass won't change much on its own - eventually, it will compress and the momentum of the spring and the object will become zero.

I don't want to confuse you if you already understand what's going on but I don't exactly get your point about masses.

i was thinking p=mv. if m = 0, then there is no momentum in an ideal spring as it compresses.
 

RetailBoy

Full Member
Apr 29, 2010
93
0
Status (Visible)
  1. Pre-Medical
I think you and BerkTech are talking about same problem:

"As Rabolisk has pointed out, momentum is not conserved when there is a net force acting on the system. As he also stated, this concept is built into Newton's second law. Basically, if a force is acting on an object (or system), then the object (or system) is experiencing an acceleration, which means it's velocity is changing. If the linear velocity changes for an object of constant mass, then the linear momentum changes. (The linear part is not the key part here, but for the system in question it will help).

Once the moving block collides with the stationary block resting against the spring, the two blocks will move together against the resistive force of the spring. That means there is a force acting on the two-block system (namely the restoring force of the spring). That force is against the motion of the blocks, so the blocks will slow down, and thereby lose velocity (and momentum). Momentum was not conserved after collision, because of the spring force acting on the system (F = -kx). "
 
This thread is more than 9 years old.

Your message may be considered spam for the following reasons:

  1. Your new thread title is very short, and likely is unhelpful.
  2. Your reply is very short and likely does not add anything to the thread.
  3. Your reply is very long and likely does not add anything to the thread.
  4. It is very likely that it does not need any further discussion and thus bumping it serves no purpose.
  5. Your message is mostly quotes or spoilers.
  6. Your reply has occurred very quickly after a previous reply and likely does not add anything to the thread.
  7. This thread is locked.