### Show the conservation of mechanical energy

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Q. A 150 g ball and a 220 g ball are connected by a 36{rm cm}-long, mass less, rigid rod. The balls rotate about their center of mass at 130 rpm. What is the speed of the 150 g ball?

Q. A 29 g bullet is fired straight upward into at rest 1.40kg block and the bullet is embedded in the block. The velocity of the bullet is 510 m/s. Show the conservation of mechanical energy and conservation of momentum are inconsistent before and after the collision and resolve the inconsistency.

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