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^ Volume V derived from the radius using =, assuming sphericity. ^ Density derived from the mass divided by the volume. ^ Surface gravity derived from the mass m, the gravitational constant G and the radius r: Gm/r 2.
The gravitational field g (also called gravitational acceleration) is a vector field – a vector at each point of space (and time). It is defined so that the gravitational force experienced by a particle is equal to the mass of the particle multiplied by the gravitational field at that point.
In classical mechanics, a gravitational field is a physical quantity. [5] A gravitational field can be defined using Newton's law of universal gravitation.Determined in this way, the gravitational field g around a single particle of mass M is a vector field consisting at every point of a vector pointing directly towards the particle.
Gravimetry is the measurement of the strength of a gravitational field. Gravimetry may be used when either the magnitude of a gravitational field or the properties of matter responsible for its creation are of interest. The study of gravity changes belongs to geodynamics.
Thus, the gravitational acceleration at this radius is [14] = (). where G is the gravitational constant and M(r) is the total mass enclosed within radius r. If the Earth had a constant density ρ, the mass would be M(r) = (4/3)πρr 3 and the dependence of gravity on depth would be
The portion of the mass that is located at radii r > r 0 exerts no net gravitational force at the radius r 0 from the center. That is, the individual gravitational forces exerted on a point at radius r 0 by the elements of the mass outside the radius r 0 cancel each other.
Speculated approximate lower limit of the mass of a primordial black hole: 1.5 × 10 −8 kg: US RDA for vitamin D for adults [46] ~2 × 10 −8 kg Uncertainty in the mass of the International Prototype of the Kilogram (IPK) (±~20 μg) [47] 2.2 × 10 −8 kg Planck mass, [48] can be expressed as the mass of a 2 Planck Length radius black hole ...
The Schwarzschild radius or the gravitational radius is a physical parameter in the Schwarzschild solution to Einstein's field equations that corresponds to the radius defining the event horizon of a Schwarzschild black hole. It is a characteristic radius associated with any quantity of mass.