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Collisions in One

# Collisions in One - Collisions in One-Dimension Consider...

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Collisions in One-Dimension Consider the collision shown in Figure 10.1. If there are no external forces acting on this system (consisting of the two masses) the total momentum of the system is conserved. The first class of collisions we will discuss are the elastic collisions . Collisions are called elastic collisions if the total kinetic energy of the system is conserved. Applying conservation of linear momentum to the collision shown in Figure 10.1 gives Conservation of the total kinetic energy gives We now have two equations with two unknown (v 1f and v 2f ) which can be solved. The first equation can be rewritten as The second equation can be rewritten as The final velocity of mass m 1 can now be calculated by dividing the last two expressions Figure 10.1. Collision in One-Dimension. This gives The final velocity of m 1 can now be obtained The final velocity of mass m 2 can also be obtained

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It is clear that the velocity of m 2 is always positive. The velocity of m 1 can be either positive or
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