Question

Derive the equation for conservation in two dimension

Answer 1

Answer:

A two-dimensional collision with the coordinate system chosen so that m2 is initially at rest and v1 is parallel to the x-axis. This coordinate system is sometimes called the laboratory coordinate system, because many scattering experiments have a target that is stationary in the laboratory, while particles are scattered from it to determine the particles that make-up the target and how they are bound together. The particles may not be observed directly, but their initial and final velocities are.

Answer 2

Answer:

Two dimensional collision with the coordinate system chosen so that m2 is initially at rest and v1 is parallel to the x axis. conservation of momentum along thexaxis gives the following equation m1v1 =m1v′1 cos θ1+m2v′2 cos θ2,where θ1andθ2

Explanation:

Conservation of Momentum along the x axis

0=m1v′1y + m2v′2y. The components of the velocities along the y axis have the form v sin θ.  conservation of momentum along y axis gives the following equation0=m1v′1 sin θ1 + m2v′2 sinθ2.