How was the problem of escaping earth's gravity solved?

Answer 1

First you need to caluclate the escape volocity. Calculating an escape velocity 1. Determine the mass and radius of the planet you are on. For Earth, assuming that you are at sea level, the radius is 6.38x10^6 meters and the mass is 5.97x10^24 kilograms. You will need the gravitational constant (G), which is 6.67x10^-11 N m^2 kg^-2. It is recommended to use metric units. 2. Using the above data, calculate the required velocity needed to exceed the planet's gravitational force. The object must have greater energy than the planet's velocity as follows: V(escape)= squareroot[(2GM)/r] where "M" is the mass of the earth, "G" is the gravitational constant(6.67x10^-11) and "r" is the radius from the center of the planet(6.38x10^6). 3. Accelerate the mass to the escape velocity. It is optimal to accelerate it perpendicular to the ground, assuming it is level. Accelerating the mass at an angle other than 90 degrees with respect to the ground will require a greater velocity such that V(escape)=V(actual)*sin(theta), where theta is the angle between the ground and the projected acceleration vector. 4. The escape velocity of Earth comes to about 11.2 kilometers per second or 25000 miles per hour from the surface.