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 1.50 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 Mmoon = 7.36 × 1022 kg, and the separation of the Earth and Moon is de,M = 3.84 × 10⁰ m. water: Liters

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Chapter5: Relativity
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Problem 110AP: Suppose you use an average of 500 k W·h of electric energy per month in your home. (a) How long...
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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
49.0%. 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
m.
3.84 × 108 m
=
= 7.36 × 10²² kg, and the separation of the Earth and Moon is de,M
Liters
water:
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 49.0%. 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 m. 3.84 × 108 m = = 7.36 × 10²² kg, and the separation of the Earth and Moon is de,M Liters water:
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