According to newton's third law, the rock must also be pulling on earth, yet the earth doesn't seem to accelerate because the mass of the earth is so large that it doesn't affect it
According to Newton's third law of motion,
The first body receives a force that is equivalent in magnitude to the force applied in the opposite direction when one body exerts a force on another.
A stone will speed toward the core of the Earth when it falls from a given height above the surface. This is due to gravity. The stone applies the same force to the Earth but in the opposite direction, in accordance with Newton's Third Law. Even though the stone is relatively little, the Earth is moving faster toward it.
The Earth doesn't actually move, though, because the rock's mass is insignificant in comparison to that of the Earth (F = ma). If it moved, terrible things may happen if someone dropped a rock anywhere.
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