Question

Discuss elastic collision between two bodies moving along x-axis with necessary equations.

Answer 1

Answer:

See Below.

Explanation:

Elastic Collision is a type of collision where not only the linear momentum of the whole system is conserved, the total Kinetic Energy of the system is conserved as well.

So, let's consider two particles with mass m₁ and m₂ respectively, which have velocities v₁ and v₂ towards x-axis.

So, As Linear Momentum is conserved,

$m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2$

And, we need kinetic energy to be conserved too. So,

$\frac{1}{2}m_1u_1^2 + \frac{1}{2}m_2u_2^2 = \frac{1}{2}m_1v_1^2 + \frac{1}{2}m_2v_2^2$

That's all you need for elastic collision. Everything related to the collision and motion of the bodies can be calculated while keeping these relations in mind.