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For an object of mass the energy required to escape the Earth's gravitational field is GMm / r, a function of the object's mass (where r is radius of the Earth, nominally 6,371 kilometres (3,959 mi), G is the gravitational constant, and M is the mass of the Earth, M = 5.9736 × 10 24 kg).
Second, a planet with a larger mass tends to have more gravity, so the escape velocity tends to be greater, and fewer particles will gain the energy required to escape. This is why the gas giant planets still retain significant amounts of hydrogen, which escape more readily from Earth's atmosphere. Finally, the distance a planet orbits from a ...
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.
Mass–energy equivalence states that all objects having mass, or massive objects, have a corresponding intrinsic energy, even when they are stationary.In the rest frame of an object, where by definition it is motionless and so has no momentum, the mass and energy are equal or they differ only by a constant factor, the speed of light squared (c 2).
Gravitational binding energy of the Earth [258] 3.10×10 32 J Yearly energy output of Sirius B, the ultra-dense and Earth-sized white dwarf companion of Sirius, the Dog Star. It has a surface temperature of about 25,200 K. [259] 10 33 2.7×10 33 J: Earth's kinetic energy at perihelion in its orbit around the Sun [260] [261] 10 34 1.2×10 34 J
tech: the power the Z machine reaches in 1 billionth of a second when it is fired [citation needed] 3 × 10 14: weather: Hurricane Katrina's rate of release of latent heat energy into the air. [48] 3 × 10 14: tech: power reached by the extremely high-power Hercules laser from the University of Michigan. [citation needed] 4.6 × 10 14
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At a fixed point on the surface, the magnitude of Earth's gravity results from combined effect of gravitation and the centrifugal force from Earth's rotation. [2] [3] At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s 2 (32.03 to 32.26 ft/s 2), [4] depending on altitude, latitude, and longitude.