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Discuss the elastic collision in one dim...

Discuss the elastic collision in one dimension and calculate the velocities of bodies after the collision.

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Consider two bodies A and B which collide head on as shown in figure. Let me and `m_2` are the masses of two, bodies A and B having velocities `u_1` and `u_2` before collision such that `u_1 gt u_2` and `v_1 and v_2` velocities after collision respectively.

Before collision, total linear momentum of system = `m_1u_1 + m_2u_2`
After collision, total linear momentum of system = `m_1v_1 + m_2v_2`
Kinetic energy of the system before collision `= 1/2 m_1 u_1^2 + 1/2 m_2u_2^2`
Kinetic energy of the system after collision = `1/2 m_1v_1^2 + 1/2 m_2v_2^2`
As collision is elastic, so linear momentum and kinetic energy of system remain conserved.
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