A blue and a green billiard ball, each with a mass of 0.15 kg colide directly. Before the collision, the blue ball had a speed of 3 m/s while the green ball had a speed of 2 m/s. After the colision, the blue ball stays in place while the green ball continues in motion. In 3-4 sentences, represent the situation before and after the colision and calculate the speed of the green ball after the collision. Be sure to discuss direction.
Before the collision, the blue ball has a momentum of 0.45 kg·m/s (0.15 kg × 3 m/s) and the green ball has a momentum of 0.30 kg·m/s (0.15 kg × 2 m/s). After the collision, since the blue ball remains in place, its momentum becomes zero. According to the law of conservation of momentum, the total momentum before and after the collision should be the same. Therefore, the momentum of the green ball after the collision will also be 0.30 kg·m/s. To calculate the speed of the green ball after the collision, we divide its momentum (0.30 kg·m/s) by its mass (0.15 kg), resulting in a speed of 2 m/s. Thus, the green ball will continue moving in the direction with a speed of 2 m/s after the collision.
