A block with a mass of m=21 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle 0=18 degrees measured from horizontal. Write an expression for the magnitude of the normal force, FN acting on the block, in terms if F2 and the other variables of the problem. Assume that the surface it rests on is rigid. The two forces change such that F1=8.5N and F2=19N. Based on this change, the block may no longer be in static equilibrium. Find the blocks acceleration in the x direction, ax, in meters per second squared.

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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?”