Particle A of mass 264 g initially at rest slides from the top of a smooth quarter-of-a-circle track with radius 1.67 m (see picture). Upon reaching the bottom of the track, it collides with particle B traveling in opposite direction with speed 3.25 m/s; particle B has a mass of 198 g. If the collision is (perfectly) elastic, how high could A get up along the quarter-of-a-circle track?
1. Particle A of mass 264 g initially at rest slides from the top of a smooth quarter-of-a-circle track with radius 1.67 m (see picture). Upon reaching the bottom of the track, it collides with particle B traveling in opposite direction with speed 3.25 m/s; particle B has a mass of 198 g. If the collision is (perfectly) elastic, how high could A get up along the quarter-of-a-circle track?
2. Upon reaching its maximum height, a 546-g projectile launched from
the ground with an initial velocity of 15.0 m/s, 30.0° above the horizontal collides with a vertical free falling object of mass 245 g and the two stick together after the collision. Suppose that at the time of collision, the second object is momentarily at rest, what is the resulting speed of the two objects upon reaching the ground?
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