A small block m is pressed against a big block of mass M as shown in Figure 2 below. If a force F is applied, the two are free to move across a frictionless surface. A coefficient of static friction holds the small mass against the big mass. What is the minimum horizontal force needed to hold the small mass against the big mass

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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?”