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  2. Gravitational potential - Wikipedia

    en.wikipedia.org/wiki/Gravitational_potential

    The potential has units of energy per mass, e.g., J/kg in the MKS system. By convention, it is always negative where it is defined, and as x tends to infinity, it approaches zero. The gravitational field , and thus the acceleration of a small body in the space around the massive object, is the negative gradient of the gravitational potential.

  3. Poncelet–Steiner theorem - Wikipedia

    en.wikipedia.org/wiki/Poncelet–Steiner_theorem

    To draw the parallel (h) to a diameter g through any given point P. Chose auxiliary point C anywhere on the straight line through B and P outside of BP. (Steiner) In the branch of mathematics known as Euclidean geometry, the Poncelet–Steiner theorem is one of several results concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules.

  4. Gravitational constant - Wikipedia

    en.wikipedia.org/wiki/Gravitational_constant

    In Newton's law, it is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance. In the Einstein field equations , it quantifies the relation between the geometry of spacetime and the energy–momentum tensor (also referred to as the stress ...

  5. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    During the first 0.05 s the ball drops one unit of distance (about 12 mm), by 0.10 s it has dropped at total of 4 units, by 0.15 s 9 units, and so on. Near the surface of the Earth, the acceleration due to gravity g = 9.807 m/s 2 ( metres per second squared , which might be thought of as "metres per second, per second"; or 32.18 ft/s 2 as "feet ...

  6. Step potential - Wikipedia

    en.wikipedia.org/wiki/Step_potential

    In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves.The problem consists of solving the time-independent Schrödinger equation for a particle with a step-like potential in one dimension.

  7. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    When two cells in the Voronoi diagram share a boundary, it is a line segment, ray, or line, consisting of all the points in the plane that are equidistant to their two nearest sites. The vertices of the diagram, where three or more of these boundaries meet, are the points that have three or more equally distant nearest sites.

  8. Orders of magnitude (energy) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(energy)

    Kinetic energy of 7.26 kg [91] standard men's shot thrown at 14.7 m/s [citation needed] by the world record holder Randy Barnes [92] 8.01×10 2 J Amount of work needed to lift a man with an average weight (81.7 kg) one meter above Earth (or any planet with Earth gravity) 10 3: kilo-(kJ) 1.1×10 3 J

  9. Mass-to-charge ratio - Wikipedia

    en.wikipedia.org/wiki/Mass-to-charge_ratio

    When charged particles move in electric and magnetic fields the following two laws apply: Lorentz force law: = (+),; Newton's second law of motion: = =; where F is the force applied to the ion, m is the mass of the particle, a is the acceleration, Q is the electric charge, E is the electric field, and v × B is the cross product of the ion's velocity and the magnetic flux density.