What is the speed of each marble immediately after the collision?

AI Thread Summary
A 43.0 g marble moving at 1.90 m/s collides with a stationary 30.0 g marble, and the discussion focuses on finding their speeds after the collision. The initial attempt used an incorrect formula assuming a completely inelastic collision, which does not apply since marbles typically collide elastically. The correct approach involves using conservation of momentum and kinetic energy, where the total energy before the collision equals the total energy after. Participants emphasize the importance of understanding elastic collisions, where energy is conserved rather than transferred. The discussion highlights the need to apply the correct equations for elastic collisions to solve the problem accurately.
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Homework Statement



A 43.0 marble moving at 1.90 strikes a 30.0 marble at rest. What is the speed of each marble immediately after the collision?

(vfx)1=?

(vfx)2=?

Homework Equations



v2f=2 m1 v1 / (m1 + m2)

The Attempt at a Solution



I tried using the equation above to get the first speed and is not the right answer. I did this 1.9m/s(2(.43)/.43+.30)=2.23m/s that apparently is wrong. Any help?
 
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Marbles usually collide elastically. You assumed completely inelastic collision, when the marbles stick together.

ehild
 
so what's the formula for that?
 
Think about what an elastic collision is... When all of the energy from on marble is transferred to another - where all kinetic energy is transferred to the next marble?

Where kinetic energy E = 1/2 mv^2

The initial energy of 1 and the initial energy of 2 must equal the final energy...
 
The energy is not transferred to one marble to the other, but conserved, just like the momentum.

The sum of the energies of both marbles is the same before and after collision.

ehuild
 

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