- 0 Thanks
- 0 Questions
- 89 Views
- by Suyog Neupane 7 months ago

The elastic collision in which the colliding particles moving along the same straight line path before and after the collision is called one-dimensional elastic collision.

Consider two bodies A and B having respective masses m_{1} and m_{2} are moving with respective velocities u_{1} and u_{2} is straight line such that u_{1} > u_{2} before collision as shown in figure . Let, the bodies collide elastically and v_{1} and v_{2} be their respective velocities after collision.

Applying law of conservation of linear momentum,

m_{1}u_{1 + }m_{2}u_{2} = m_{1}v_{1} +m_{2}v_{2} ..........(1)

or, m_{1}(u_{1 }– v_{1}) = m_{2}(v_{2} – u_{2}) ...........(2)

Since in an elastic collision, total kinetic energy also remains conserved. Therefore,

From equation (7) and (8), the velocities of the bodies A and B, after collision can be calculated.

**Special cases **

· When both the colliding are of the equal masses then, m_{1} = m_{2} = m(say)

From(7), v_{1} = u_{2}

From(8), v_{2} = u_{1}

This shows that if two bodies having equal masses collide elastically in one-dimension, then they simply interchange their velocities after the collision.

Please Log In to ask your question.