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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 ...
Conversely, a decrease in kinetic energy is caused by an equal amount of negative work done by the resultant force. Thus, if the net work is positive, then the particle's kinetic energy increases by the amount of the work. If the net work done is negative, then the particle's kinetic energy decreases by the amount of work. [17]
The Heisenberg uncertainty principle allows the energy to be as large as needed to promote quantum actions for a brief moment of time, even if the average energy is small enough to satisfy relativity and flat space. To cope with disagreements, the vacuum energy is described as a virtual energy potential of positive and negative energy. [93]
Without friction to dissipate a body's energy into heat, the body's energy will trade between potential and (non-thermal) kinetic forms while the total amount remains constant. Any gain of kinetic energy, which occurs when the net force on the body accelerates it to a higher speed, must be accompanied by a loss of potential energy.
The gravitational force that a celestial body exerts on a space vehicle is modeled with the body and vehicle taken as point masses; the bodies (Earth, Moon, etc.) are simplified as spheres; and the mass of the vehicle is much smaller than the mass of the body so that its effect on the gravitational acceleration can be neglected.
In general relativity, the effective gravitational potential energy of an object of mass m revolving around a massive central body M is given by [43] [44] = + A conservative total force can then be obtained as its negative gradient
This is analogous to the gravitational potential. The difference between the electric potential at two points in space is called the potential difference (or voltage) between the two points. In general, however, the electric field cannot be described independently of the magnetic field.
Gravitational attraction of the proton and the electron in hydrogen atom [1] 10 −30 quectonewton (qN) 8.9 qN Weight of an electron [1] 10 −26: 16 rN Weight of a hydrogen atom [1] 10 −24 yoctonewton (yN) 5 yN Force necessary to synchronize the motion of a single trapped ion with an external signal measured in a 2010 experiment [2] [3] 10 ...