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  • Gravitational field on surface of spherical shell
    And the total gravitation energy of the shell is $W=-GM^2 2R$ Now let's inflate the sphere by $x$ It's energy would increase by: $$x * dW dR = x * G M^2 2R^2$$ We can also calculate the energy we spent pulling each piece of the shell up by $x$ The force acting on each small piece $dm$ is proportional to $dm$: $f = g*dm$
  • What is the gravity in the center of Earth? - Physics Stack Exchange
    Let's suppose the earth is a perfect sphere and let's ignore its rotation and movement What would happen if I would be in the center of the earth? Would the gravity be zero in any direction so I wouldn't feel any gravity force? Or would there be 'pulling' forces (of half of the gravity force on the surface) that would attract me in every direction Or in other words - If I would be in the
  • If the gravity at the center of the Earth is zero, why are heavy . . .
    If gravity is zero at the center of the earth, why is there a core of heavy elements, such as iron? Alternate question for the opposite hypothesis: If gravity is greatest at the center of the earth, as classical education tells us, why is the core not dominated by the heaviest elements (elements heavier than iron)? I am a person reasonably familiar with technical terms, but I am not a
  • Would you be weightless at the center of the Earth?
    If you could travel to the center of the Earth (or any planet), would you be weightless there?
  • If gravity is not a force, what makes massive objects spheroid?
    For most of my life, the explanation given for why celestial bodies like stars, planets, etc are round is due to gravitational force Simply put, if an object has enough mass, it will, in turn, have enough self-gravity to eventually turn into a spheroid, such that the object's matter is more-or-less equally spread around the center of mass, with rotation obviously deforming the shape a bit
  • Gravitational potential energy inside of a solid sphere
    I am self-studying classical mechanics I came across a problem which required me to calculate the gravitational potential inside of a sphere I found in one of my textbooks that the potential ener
  • How does gravity work underground? - Physics Stack Exchange
    The other answers provide a first-order approximation, assuming uniform density (though Adam Zalcman's does allude to deviations from linearity) (Summary: All the mass farther away from the center cancels out, and gravity decreases linearly with depth from 1 g at the surface to zero at the center ) But in fact, the Earth's core is substantially more dense than the outer layers (mantle and
  • How can nothing be warped? - Physics Stack Exchange
    This is what Alfred Whitehead over a century ago called the "fallacy of misplaced concreteness " Or, as Alfred Korzybski put it decades later, "the map is not the territory "
  • Surface gravity of Kerr black hole - Physics Stack Exchange
    I'm going through Kerr metric, and following the 'Relativist's toolkit' derivation of the surface gravity, I've come to a part that I don't understand Firstly, the metric is given by $$\\mathrm{d
  • general relativity - Calculating Schwarzschild surface gravity . . .
    Then I sought help from a friend, who kindly pointed me to Padmanabahan's textbook Gravitation: Foundations and Frontiers The following discussions are largely based on the discussions given in the textbook





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