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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).
The first equation shows that, after one second, an object will have fallen a distance of 1/2 × 9.8 × 1 2 = 4.9 m. After two seconds it will have fallen 1/2 × 9.8 × 2 2 = 19.6 m; and so on. On the other hand, the penultimate equation becomes grossly inaccurate at great distances.
The InSight mission to Mars launched with a C 3 of 8.19 km 2 /s 2. [2] The Parker Solar Probe (via Venus) plans a maximum C 3 of 154 km 2 /s 2. [3] Typical ballistic C 3 (km 2 /s 2) to get from Earth to various planets: Mars 8-16, [4] Jupiter 80, Saturn or Uranus 147. [5] To Pluto (with its orbital inclination) needs about 160–164 km 2 /s 2. [6]
Based on air resistance, for example, the terminal speed of a skydiver in a belly-to-earth (i.e., face down) free fall position is about 55 m/s (180 ft/s). [3] This speed is the asymptotic limiting value of the speed, and the forces acting on the body balance each other more and more closely as the terminal speed is approached. In this example ...
from Moon to Earth: 1.3 s: from Sun to Earth (1 AU) 8.3 min: one light year: 1.0 year: one parsec: 3.26 years: from nearest star to Sun (1.3 pc) 4.2 years: from the nearest galaxy (the Canis Major Dwarf Galaxy) to Earth: 25 000 years: across the Milky Way: 100 000 years: from the Andromeda Galaxy to Earth: 2.5 million years
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 ...
At any time the average speed from = is 1.5 times the current speed, i.e. 1.5 times the local escape velocity. To have t = 0 {\displaystyle t=0\!\,} at the surface, apply a time shift; for the Earth (and any other spherically symmetric body with the same average density) as central body this time shift is 6 minutes and 20 seconds; seven of ...
A common misconception occurs between centre of mass and centre of gravity.They are defined in similar ways but are not exactly the same quantity. Centre of mass is the mathematical description of placing all the mass in the region considered to one position, centre of gravity is a real physical quantity, the point of a body where the gravitational force acts.