If the Earth is at rest, the gravitational force of the Earth attracts objects towards the center of the Earth. If the Earth is moving, the gravitational force of the Earth attracts objects towards the center of the Earth. Objects on the Earth is at rest when the Earth is at rest. Objects on the Earth is moving when the Earth is moving. But gravitational force of the Earth always attracts the objects towards the center of the Earth. Objects in the gravitational field of the Earth are attracted towards the center of the Earth.