A ball with mass M = 1 kg at rest, which is attached to the end of a light incompressible rod fixed in a suspension on a hinge, is hit by a bullet with mass m = 0.01 kg. The angle between the direction of flight of the bullet and the line of the rod is a = 45°. After the impact, the bullet gets stuck in the ball, and the ball together with the bullet, having pumped out, rises to a height h = 0.2 m relative to the initial position. Find the bullet speed v.
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