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Significance of normal force - an example

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A 5.0 kg block is pulled along a horzontal surface by a cord that exerts a force T = 12.0 N at an angle 35 degrees above the horizontal. There is no friction (A) Draw a free-body diagram of the block, labeling all forces. (B) What must be true of the sum of the vertical components of all forces? Why? (C) Determine the acceleration of the block. (D) Find the normal force, applied to the block by the surface below it.

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The true sum of all the vertical forces must be zero as there is no motion in the vertical ...

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