What is the Velocity of Object A After an Inelastic Collision?

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The discussion focuses on determining the velocity of object A after an inelastic collision with object B. The problem involves applying the conservation of momentum, where object A has a mass m and initial velocity v0i, while object B has a mass of 2m and an initial velocity of 1/2v0j. After the collision, object B's velocity is given as 1/4v0i. The participant attempted to solve the problem but arrived at an incorrect velocity of 1/2i + j for object A, indicating confusion about the momentum conservation setup. The need for clarification on the calculations and approach to the problem is emphasized.
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Homework Statement



Object A, which has a mass m and a velocity v0i, collides head-on with object B, which has a mass 2m and a velocity 1/2v0j. Following the collision, object B has a velocity of 1/4v0i.

-Find the velocity of object A after the collision.

-Express the change in kinetic energy in terms of m and v0

Homework Equations





The Attempt at a Solution



I got 1/2i+j for the velocity and I am not sure why it is wrong. I set up the conservation of momentum equation and canceled the "m"s and just multiplied the coefficients(1 and 2) times the number in front of the velocity(either 1, 1/2, or 1/4) if that makes any sense.
 
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anyone? It doesn't seem difficult at all. I don't know what I'm missing here..
 

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