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Problem: The evil team of Ms. Moonstruck and Mr. Luny intend to deflect the Moon from its orbit around Earth by pulling it with a force of 9110 N. They plan to accomplish this by placing a mini black hole 6450000 m from the center of the Moon and letting gravitation do what gravitation does.

Part A: What must the mass of the mini black hole be for the evil duo\'s evil scheme to succeed? The mass of the Moon is 7.36 × 1022 kg. in kg?

Please show each step in detail for help.

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