Re: 2 False
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Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers
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So the mass of the Earth is what determines gravity.
Planets that have no molten core still have gravity.
The molten core is what effects our magnetic field, which protects us from the radiation from the sun, as I understand it