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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 69.0 % . How many liters of water would be sufficient fuel to very slowly push the Moon 2.90 mm away from the Earth? The density of water is ρ water = 1.00 kg/liter , the Earth's mass is M earth = 5.97 × 10 ^24 kg , the Moon's mass is M moon = 7.36 × 10 ^22 kg , and the separation of the Earth and Moon is d E,M = 3.84 × 10 ^8 m .

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