The green colored block shown in the figure below is free to slide along the inclined plane on the cart. The cart has wheels that allow it to move horizontally. If the angle of inclination of the plane is 45o and the coefficient of friction between the block and the plane is μs=2/5 find the minimum and maximum acceleration (In terms of g) the cart should have so that the block doesn’t slide

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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?”