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For two pairwise interacting point particles, the gravitational potential energy is the work that an outside agent must do in order to quasi-statically bring the masses together (which is therefore, exactly opposite the work done by the gravitational field on the masses): = = where is the displacement vector of the mass, is gravitational force acting on it and denotes scalar product.
Conversely, as two massive objects move towards each other, the motion accelerates under gravity causing an increase in the (positive) kinetic energy of the system and, in order to conserve the total sum of energy, the increase of the same amount in the gravitational potential energy of the object is treated as negative. [1]
The gravitational potential (V) at a location is the gravitational potential energy (U) at that location per unit mass: =, where m is the mass of the object. Potential energy is equal (in magnitude, but negative) to the work done by the gravitational field moving a body to its given position in space from infinity.
Gravitational waves transport energy as gravitational radiation, a form of radiant energy similar to electromagnetic radiation. [7] Newton's law of universal gravitation , part of classical mechanics , does not provide for their existence, instead asserting that gravity has instantaneous effect everywhere.
Potential energy – energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. [3] [4] Elastic energy – energy of deformation of a material (or its container) exhibiting a restorative force; Gravitational energy – potential energy associated with a gravitational field.
A gravitationally bound system has a lower (i.e., more negative) gravitational potential energy than the sum of the energies of its parts when these are completely separated—this is what keeps the system aggregated in accordance with the minimum total potential energy principle. The gravitational binding energy can be conceptually different ...
^ Surface gravity derived from the mass m, the gravitational constant G and the radius r: Gm/r 2. ^ Escape velocity derived from the mass m, the gravitational constant G and the radius r: √ (2Gm)/r. ^ Orbital speed is calculated using the mean orbital radius and the orbital period, assuming a circular orbit. ^ Assuming a density of 2.0
Mass–energy emitted as gravitational waves during the most energetic black hole merger observed until 2020 (GW170729) [309] 8.8×10 47 J GRB 080916C – formerly the most powerful gamma-ray burst (GRB) ever recorded – total/true [ 310 ] isotropic energy output estimated at 8.8 × 10 47 joules (8.8 × 10 54 erg), or 4.9 times the Sun's mass ...