plates keep earth in motion
The fundamental laws of physics. In particular, Newton's Laws of Motion.
The moon is falling, but since the Earth's gravitational pull is constantly acting on it, the moon keeps falling but it is moving towards the Earth so it move in an egg shaped motion.
The force that causes Earth's centripetal motion is gravity. Gravity pulls Earth towards the Sun, causing it to orbit in a circular path around the Sun. This centripetal force keeps Earth moving in a curved path rather than in a straight line.
Yes, but the Gravitational pull is also at play.
Without gravity the Earth would go off into outer space where it's cold and dark and the temperature on Earth would probably fall to about -250 degrees C. The Sun's gravity keeps us in a nice nearly-circular orbit so that we can have a good time.
The force that keeps an object in motion stay in motion is called inertia. Inertia is the tendency of an object to resist changes in its velocity.
The nucleus
No, the earth's motion is a periodic motion forming an ellipse.
The moon is falling, but since the Earth's gravitational pull is constantly acting on it, the moon keeps falling but it is moving towards the Earth so it move in an egg shaped motion.
Earth exerts a pull on the moon, which keeps it orbiting the Earth. Since the Earth is so big compared to the moon, it pulls the moon toward it. In a sense, the moon is falling towards the Earth, but since the moon is also moving forwards, it ends up going around and around the Earth.
The force that pulls on the Earth and keeps it in orbit around the sun is gravity. Gravity is the attractive force between two objects with mass, and it is the dominant force that governs the motion of celestial bodies in the solar system.
If something is moving, no force is required for that something to continue moving. That doesn't mean there are no forces acting on Earth; for example, the Sun attracts Earth towards it. But that's not what keeps the Earth moving.