What is the range of the Earth’s gravitational force and how far from Earth you should be to start floating into space instead of falling back to earth?
In order to overcome the Earth's gravitational pull, an object must reach the Earth's escape velocity which is about 11 km/s. The escape velocity can be expressed by the mathematical equation of the square root of 2GM/r where the G is the universal gravitational constant and M is the mass of Earth and r is the distance from the center of Earth. As distance increases, the gravitational pull decreases (inverse relationship). But, theoretically, gravity will never reach zero because it depends on too many other factors such as the third body effect such as in our solar system: Earth, Moon, and Sun, and other nearby objects.
The range of a gravitational force is infinite. Any two masses are drawn together by gravitational force. The average gravitational pull of the Earth is 9.8 meters per second squared (m/s2). The Earth is made of different substances like air, rock, and water. These substances have a different amount of mass in a certain amount of space (density). As, rock has a higher density than air. The earth is an oblate spheroid, and that means it bulges out in the middle (the equator). That also means the poles end up a little closer to the centre of gravity. That is why on the surface of earth, at the poles the intensity of gravity is the maximum.Earth's gravity never “ends.” All other answers say basically the same, with little variations. In practice, though, it does. Let's see how this is possible: Earth is a planet, in astrodynamics terminology also known as a “secondary”, orbiting around the Sun, a star. The value of g is maximum at the pole (9.832 m/s^2) and minimum at the equator (9.78 m/s^2).The value of acceleration due to gravity is minimum at the equator and maximum at the pole. The force due to the upper half of the Earth cancels the force due to the lower half at the center of the Earth. Similarly, any force due to any portion of the Earth at its center will be cancelled by the portion opposite to it. As a result, the gravitational force at the center of anybody will be zero. Earth's influence is about 4 million miles, but if you are within about a million miles of the Moon, you will fall there instead of to Earth. To note though the Moon's influence is fan-shaped as it is overpowered by Earth. If you are on the near side the planet has more control than on the far side. Gravity is the force of attraction between all objects in the Universe. Objects with more mass have greater gravitational pull than objects with less mass. Gravity keeps Earth and the planets orbiting around the Sun instead of floating off into space. To stay in orbit, a satellite has to travel at a very high velocity, which depends on the height. So, typically, for a circular orbit at a height of 300 km above the Earth's surface, a speed of 7.8 km/s (28,000 km/h) is needed. If you're falling at the same rate as everything around you (that is, with no air resistance), you feel like you're floating. If you wanted to reach a point where Earth's gravity no longer has a hold on you, you'd have to fly out about 21 million kilometers, or 13 million miles. The range of a gravitational force is infinite. Any two masses are drawn together by gravitational force. The attractive force gets its name from the fact that it always tries to bring the masses together rather than separate them. In fact, everything in the universe, including you, is pulling on everything else.Yet the edge of space – or the point where we consider spacecraft and astronauts to have entered space, known as the Von Karman Line – is only 62 miles (100 kilometers) above sea level. At 11km/s you can successfully break orbit and escape the gravitational pull of the Earth. At 10km/s the Earth will eventually slow down your ascent till you begin falling back towards the ground. These values are at ground level. Outer space does not begin at a definite altitude above Earth's surface. The Kármán line, an altitude of 100 km (62 mi) above sea level, is conventionally used as the start of outer space in space treaties and for aerospace records keeping.