A $0\mathrm{.}300-kg$ puck, initially at rest on a horizontal, frictionless surface, is struck by a $0\mathrm{.}200-kg$ puck moving initially along the $x$ axis with a speed of $2\mathrm{.}00\frac{m}{s}.$ After the collision, the $0\mathrm{.}200-kg$ puck has a speed of $1\mathrm{.}00\frac{m}{s}$ at an angle of $=52\mathrm{.}00$ to the positive $x$ axis $($see the figure below$).$

Before the collision

After the collision

$($a$)$ Determine the velocity of the $0\mathrm{.}300-kg$ puck after the collision.

$\frac{m}{s}$

$($b$)$ Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.