explosion. $(5$ points$)$

Problem $5$: Elastic Collision in Two Dimensions

A $2$ kg ball moving at $5\frac{m}{s}$ strikes a stationary $3$ kg boints$)$

The $2$ kg ball moves at an angle of $30$ above the original line of

Write the equations for the conservation of momentum in both $(4$ points$)$

Solve for the $x-$ and $y-$components of $3$ kg ball after the collision. $(5$ points$)$

Determine the magnitude of the velocity of the system. $(5$ points$)$

Verify the conservation of total kinetic energy in the system