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Gravitational Force due to Earth, Moon, and Sun |
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| Jun10-11, 08:39 PM | #1 |
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Gravitational Force due to Earth, Moon, and Sun
1. The problem statement, all variables and given/known data
Part One: Calculate the magnitude of the gravitational force between the Moon and an m = 6.45 kg mass on the surface of the Earth nearest to the moon. The distance to the center of the Moon from the surface of the Earth is 3.76×105 km and the mass of the Moon is 7.36×1022 kg. Part Two: Calculate the ratio of the magnitude of the gravitational force between an m = 6.45 kg mass on the surface of the Earth due to the Sun to that due to the Moon. The mass of the Sun is 1.99×1030 kg and the distance from the center of the Sun to the surface of the Earth is 1.50×108 km. 2. Relevant equations: F = G*M1*M2/r^2 G constant = 6.67E-11 3. The attempt at a solution: For part A, I used the gravitation formula, and had this equation: F = ((6.67E-11)(6.45)(7.36E22))/(e.76E5)^2 I keep getting my answer to be 223.97 N, but this is apparently incorrect? I have not yet attempted part B, because I want to troubleshoot what I am doing wrong with Part A first. I have correctly answered previous, similar questions but this one has me stumped. Any and all advice is welcome. Thank you! 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution |
| Jun10-11, 08:58 PM | #2 |
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Recognitions:
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The constant G has units. What are they? It is important that the units of all your values correspond, otherwise a power of ten (or two, or three...) could creep in to spoil the party.
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| Jun10-11, 09:15 PM | #3 |
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AHH! I feel like such a moron! thank you so much! I knew it had to be something silly!
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