2. Gimli and Legolas are on a frozen pond. The pond surface is frictionless and horizontal. Legolas of mass m is originally standing still, gazing into the distance to look out for Orcs. Gimli with mass M is originally moving in the positive y-direction with speed V. He collides with Legolas. After the collision Legolas is moving with speed 1⁄2V at angle θ from the positive y-direction, as shown in the figure, while Gimli is moving at an unknown speed in some unknown direction. a) Derive an expression for Gimli’s speed after the collision, in terms of system parameters. b) Derive an expression for the impulse delivered to Legolas by Gimly in unit vector notation. y