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dx13

  • 2 years ago

Two blocks are on a frictionless, horizontal surface. Block II is stationary and has a spring attached facing block I, which approaches with a speed v. The spring compression is a maximum when the blocks have the same velocity. Briefly explain why this is so.

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  1. AERONIK
    • 2 years ago
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    use momentum conservation equations or solve the problem using the concept of reduced mass from the cm frame...

  2. dx13
    • 2 years ago
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    no I figured out the different velocities and the compression I need to know why the max compression is when they are at the same velocity, I need a conceptual explanation rather than the computational one.

  3. AERONIK
    • 2 years ago
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    actually this result comes only when you solve it that way, there is no perfect conceptual reason for it, it is just the way nature works and you get to know that by solving some trivial equations

  4. dx13
    • 2 years ago
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    would it have anything to do with it being an elastic collision and that this may be the point in which the most kinetic energy has been converted in potential energy in the spring?

  5. AERONIK
    • 2 years ago
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    the 2 blocks will never collide with each other.

  6. dx13
    • 2 years ago
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    yes but I mean as a system it would be an elastic collision, such as if block II is thought of as a whole object not as a block and spring, it would be an elastic collision between the two systems

  7. AERONIK
    • 2 years ago
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    yes it will be elastic just to say that energy is not lost when the block collides with the spring...

  8. dx13
    • 2 years ago
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    and the energy would briefly be transferred into potential energy of the spring due to compression so when the velocities are the same that would mean the spring has its max potential energy is there a reason for that?

  9. AERONIK
    • 2 years ago
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    yes correct..

  10. dx13
    • 2 years ago
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    but is there a reason it happens at that moment?

  11. AERONIK
    • 2 years ago
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    no it just comes that way naturally and that is what the equations tell, due to the spring the first block slows and the second block fastens and it so becomes tht the compression is max, when both have the same velocity.

  12. dx13
    • 2 years ago
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    I see I understand what you mean I'm just trying to put that in terms of an explanation of the equations since I can see the graph of it but I'm having trouble putting it into a conceptual explanation past thats just the way it works.

  13. AERONIK
    • 2 years ago
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    strange but true,

  14. dx13
    • 2 years ago
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    ok thank you I'll try and go from there and I'll come back if anything else comes up thanks for your help.

  15. AERONIK
    • 2 years ago
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    welcome. where are you from ?

  16. AERONIK
    • 2 years ago
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    i mean which school ?

  17. dx13
    • 2 years ago
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    im still in high school this is for a physics ap course

  18. AERONIK
    • 2 years ago
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    in the united states ?

  19. dx13
    • 2 years ago
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    yes

  20. dx13
    • 2 years ago
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    which school are you from?

  21. Shadowys
    • 2 years ago
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    It is because when both blocks are of the same velocity, their relative speed to each other is zero. I.e. The block does not see the other block moving. It is impossible to have the blocks phase through each other so their relative velocity at that time must be same, i.e. zero. When such an event happens, it also happens that the spring cannot be compressed further. Do you follow?

  22. AERONIK
    • 2 years ago
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    his question is why cant the spring compress further when such an event takes place?

  23. Shadowys
    • 2 years ago
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    As said, during that even, due to the blocks unable to phase into each other, the spring will not compress further. The blocks cannot go into one another.

  24. Shadowys
    • 2 years ago
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    Naturally, from logic, since the blocks cannot go into each other, they have to bounce away. So, during that time, the spring is max. compressed.

  25. AERONIK
    • 2 years ago
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    during such a collision the maximum compression doesnt mean that the spring is totallly compressed, it is the highest limit that the spring is compressed with the particular given speed of the blocks...

  26. Shadowys
    • 2 years ago
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    Yes, that's why the choice of words is max. compression. :)

  27. AERONIK
    • 2 years ago
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    yes that word is quite misleading...

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