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Collisions formula

  1. Nov 2, 2003 #1
    If i have the equation

    m1v1 + m2v2 = m1v1' + m2v2'

    would i have to use any calulus to find either velocity of the second object?

    What is that the equation for? Is it inelastic collisions???
     
  2. jcsd
  3. Nov 2, 2003 #2

    pmb

    User Avatar

    You don't need calculus. Simple algebra. Just solve for v2.

    This is the equation for conservation of momentum. It holds in both elastic and inelastic collisions. It's also valid in relativity if the m's are what some people call 'relativistic mass.' In such cases the m's are conserved. I.e. the sum of the m's before the collision is the sum of the m's after the collision.



    Pete
     
  4. Nov 2, 2003 #3
    Re: Re: collisions formula

    Doesn't the ' mean prime???

    What is the ' there for?

    What is the equation for completely inelastic collisions?
     
  5. Nov 2, 2003 #4

    pmb

    User Avatar

    Re: Re: Re: collisions formula

    Actually I meant to write a quote, i.e. "relativistic mass"

    I want to applogize. I made an error in that last post. I made a web page on all of this a few weeks ago. See

    www.geocities.com/physics_world/sr/inertial_mass.htm

    The equation I posted above should have read

    m1v1 + m2v2 = m3v3 + m4v4

    This will hold in all collisions both eleastic and inelastic, and in both Newtonian mechanics and relativistic mechanics.

    Particle N with mass mN and velocity vN. The mass may change in the collision.

    Pete
     
  6. Nov 2, 2003 #5
    The ' is only there to differeniate the original value from the final value.

    Nautica
     
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