The force that keeps objects moving in a circle is known as the centripetal force, which acts towards the center. The velocity of the object moving in a circle will be tangential to the circle.
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Kinetic energy moves objects, but you may be speaking of centrifugal force which is the force that pushes object away from the center when they are moving in a circle
The Centripetal force keeps a object moving in a circle and its force and acceleration are directed toward the center of the circle
The type of force that keeps an object such as the Earth moving in a circle is a combination of gravity and centrifugal force. Gravity wants to pull the object inward, but centrifugal force wants to push the object outward. This combination keeps objects going in a circular path. You could also say that, for objects such as a rock attached to a rope that is swung in circles, the forces are the tension of the rope opposing centrifugal force. This is essentially the same thing, except with different forces at work.
Your question isn't exactly stated correctly, but the result that I believe you are looking for is that, the object will be in Orbit around the Earth. This happens when the Centrifugal Force (outward from the rotation) balances out against the Pull of Gravity (Inward). For a body rotating about the Earth, the inward Force would be the Force of Gravity, which would account for the Centripetal Force. Gravity is 'taking the place of' the piece of string that holds an object in place when it is swung around in a circle.
The centripetal force is what draws the object towards the centre. The centrifugal force is what draws the object away from the centre. Generally when one speaks of centrifugal force, one means only that it takes the centripetal force to keep moving the object out of its straight direction of travel. If you remove the centripetal force in such an example, such as when the object is in a circular orbit around another body, then the result will be that the orbiting body will continue traveling in a straight line at a tangent to the circular path it had been following.
The force that keeps an object moving in a circle or an arc is called a centripetal force. Gravity is an example of centripetal force that keeps a satellite in a circular orbit around a planet. Another example is when you ride on a merry-go-round - the rotating play structure imparts a centripetal force upon you, forcing you to also travel in a circle.