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Suppose that you have found a way to convert the rest energy of any type of...

Suppose that you have found a way to convert the rest energy of any type of matter directly to usable energy with an efficiency of 49.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.90 mm away from the Earth? The density of water is ?water=1.00kg/liter, the Earth's mass is ?earth=5.97×1024 kg, the Moon's mass is ?moon=7.36×1022 kg, and the separation of the Earth and Moon is ?E,M=3.84×108 m. (in liters)

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