At a post office, a parcel that is an m kg box slides down a ramp inclined at an angle θ with the horizontal, as shown. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS. Notice that the coordinate axes have been chosen with the x axis directed up the incline, as shown. 1. Input an expression for the acceleration of the box in the x direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, θ, and appropriate coefficients of friction. The coefficient of kinetic friction between the box and the ramp is μK, and the coefficient of static friction for the same is μS.

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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?”