Head on Collision: Conservation of Momentum Explained

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Discussion Overview

The discussion revolves around the concept of conservation of momentum in the context of a head-on collision involving two blocks and a spring. Participants explore the mechanics of how a spring behaves during the collision, the conditions for maximum compression, and the implications of different velocities before and during the collision.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants explain that a spring applies force on both blocks during compression, while others question this understanding and suggest it may not apply in more complex scenarios.
  • There is a discussion about the condition of maximum compression occurring when the velocities of the two blocks are equal, with some participants expressing confusion about this concept.
  • Participants debate the interpretation of velocities (u1 and u2) as either instantaneous or prior to collision, leading to differing views on the nature of maximum compression.
  • One participant introduces an analogy involving a hill to explain the concept of maximum compression and the relationship between the velocities of the blocks.
  • Newton's third law is referenced in relation to the forces exerted by the spring on both blocks, though the reasoning behind this is also questioned.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of the spring and the conditions for maximum compression, indicating that there is no consensus on these points. The discussion remains unresolved regarding the interpretation of velocities and their implications for the collision.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the nature of the collision, the role of the spring, and the definitions of velocities involved. These aspects contribute to the ongoing debate and uncertainty among participants.

  • #31
And what about bottom most point?Is it the condition prior to first collision between blocks?
 
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  • #32
A spring pushes with equal and opposite force on each of its edges. Why this is happening? It boils down to Newton's 3rd law in classical mechanics the law of action-reaction.
 
  • #33
gracy said:
And what about bottom most point?Is it the condition prior to first collision between blocks?
The analogy attempts to get you to think about why u1 = u2 at the point of maximum compression, i.e. at the top of the hill. What happens at the bottom of the hill is not important.
 
  • #34
Thanks.If you don't mind I wanted to make a point here.
Why you are not given any badges such as science advisor ,homework helper.I really wanted to know how one can become science advisor and homework helper
 
  • #36
Take an example with front block moving with 4m/s and rear block moving with 12 m/s. As long as velocity of rear block is more it travels more compared to front and spring compresses. This compressed spring retards rear block and accelerates front block. So rear block speed decreases to 11,10,9 etc and front speed increases to 5,6,7 m/s
This decrement in rear block velocity occurs in first time or it goes to the left then again comes ,pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to 11m/s and block goes in left then again comes, pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to .10 m/s .Then again comes ,pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to 9 m/s and so on...
is it like this?
 
  • #37
gracy said:
Take an example with front block moving with 4m/s and rear block moving with 12 m/s. As long as velocity of rear block is more it travels more compared to front and spring compresses. This compressed spring retards rear block and accelerates front block. So rear block speed decreases to 11,10,9 etc and front speed increases to 5,6,7 m/s.
Yes.

The velocities will match at 8 m/s each. At that point the compression of the spring will no longer be increasing. It will be at its maximum. The rear block will still be slowing down. The front block will still be speeding up. The rear block will slow to 7, 6, 5, 4 while the front block speeds up to 9, 10, 11, 12. While this is happening, the compression on the spring will be reducing. Eventually it will no longer be compressed at all and will not be touching the rear block.

This decrement in rear block velocity occurs in first time or it goes to the left then again comes ,pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to 11m/s and block goes in left then again comes, pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to .10 m/s .Then again comes ,pushes the spring then spring applies force in left direction to rear block ,retards the rear blocks and it velocity decreased to 9 m/s and so on...
is it like this?
I have very great difficulty understanding what you are saying here. Possibly it is a language difficulty.

The word "decrement" implies an instantaneous reduction in velocity from one integer value to the next lower integer. That would be wrong. The phrase "it goes to the left then again comes" suggests a series of bounces. That would be wrong.
 
  • #38
gracy said:
That's what I want to understand why such obligation?What's the reason behind it?
You have to be prepared to use some Maths here.
 

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