Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide

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Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0° from its original direction, while asteroid B, which was initially at rest, travels at 45.0° to the original direction of A. Find the speed of each asteroid after the collision.

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