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From the surface of the Earth, escape velocity (ignoring air friction) is about 7 miles per second, or 25,000 miles per hour. Given that initial speed, an object needs no additional force applied to completely escape Earth's gravity. Answered by: Paul Walorski, B.A. Physics, Part-time Physics Instructor.
The escape velocity from the surface of the Earth is about 11.2 km/s and anything moving with that velocity or greater escapes to infinity. The speed of light is about 300,000 km/s and 11.2 km/s is a tiny fraction of that so it is not possible to have orbital speeds where relativistic effects are significant.