(Solved): Two billiard balls of equal mass, one orange and the other yellow are involved in an elastic, colli ...

Two billiard balls of equal mass, one orange and the other yellow are involved in an elastic, collision, as shown in Figure. The yellow ball is initially at rest and is struck by the orange ball moving horizontally with a speed of \( 5.00 \mathrm{~m} / \mathrm{s} \). After the collision, the orange ball moves along a direction that makes an angle of \( 37.0^{\circ} \) with its initial direction of motion. The final velocities of the two balls are perpendicular after the collision. Determine the magnitude of the final velocities of each ball.