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A person pulls a block across a rough horizontal surface at a constant speed by applying a force F The arrows in the diagram correctly indicate the directions, but not necessarily the magnitudes of the various forces on the block: Which of the following relations among the force magnitudes Wk, N and F must be true? (a) F = k and N = W. (b) F = k and N > W, (c) F < k and N = W. (d) F > k and N < W. (e) None of the above:



Answer :

The relations among the force magnitudes Work, k, N and F is none of the above.

What is force?

Force is the push or pull on any given object that can change the velocity of the object. It has both magnitude and direction which has the formula F = ma, where F is force, m is mass and a is acceleration.

Let the force be at angle θ to be horizontal. The block is in equilibrium, so

∑Fx = 0

F cosθ - k = 0

F = k secθ (> k)

∑Fy = 0

F sinθ + N -W = 0

N = W - F sinθ (<W)

Therefore, the relation of force magnitudes can be written as F>k and N<W, the correct answer is e).

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