. When you stand at rest on a floor, you exert a downward normal force on the floor. Does this force cause the earth to accelerate in the downward direction? No, because the normal force isn't a real force. Yes, but you accelerate along with the earth, so you don't notice the motion. No, because you are also pulling on the earth gravitationally. Yes, but the earth is very massive, so you don't notice the motion. No

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”