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 57.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.50 mm away from the Earth? The density of water is pwater = 1.00kg/liter, the Earth's mass is Mearth = 5.97 × 1024 kg, the Moon's mass is Mmoon = 7.36 × 1022 kg, and the separation of the Earth and Moon is deM = 3.84 × 10° m. water: Liters

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Chapter5: Relativity
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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
57.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.50 mm away from the Earth? The
density of water is
Pwater =
1.00kg/liter, the Earth's mass is Mearth
5.97 x 1024 kg, the Moon's mass is
М,
= 7.36 x 1022 kg, and the separation of the Earth and Moon is de.M
3.84 x 10° m.
moon
water:
Liters
Transcribed Image Text: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 57.0%. How many liters of water would be sufficient fuel to very slowly push the Moon 1.50 mm away from the Earth? The density of water is Pwater = 1.00kg/liter, the Earth's mass is Mearth 5.97 x 1024 kg, the Moon's mass is М, = 7.36 x 1022 kg, and the separation of the Earth and Moon is de.M 3.84 x 10° m. moon water: Liters
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