Simple Nature - Light and Matter

The easiest method is the one demonstrated in example 62 onp. 199. Casting vector F N1 ’s shadow on the ground, we can tellthat it would point to the left, so its x component is negative. Theonly two possibilities for its x component are therefore −F N1 cos θor −F N1 sin θ. We expect this force to have a large x componentand a much smaller y. Since θ is small, cos θ ≈ 1, while sin θ issmall. Therefore the x component must be −F N1 cos θ.v / Example 71 and problem 81 on p. 236.Discussion QuestionsA An object goes from one point in space to another. After it arrives atits destination, how does the magnitude of its ∆r vector compare with thedistance it traveled?B In several examples, I’ve dealt with vectors having negative components.Does it make sense as well to talk about negative and positivevectors?C If you’re doing graphical addition of vectors, does it matter whichvector you start with and which vector you start from the other vector’stip?D If you add a vector with magnitude 1 to a vector of magnitude 2,what magnitudes are possible for the vector sum?w / Discussion question E.E Which of these examples of vector addition are correct, and whichare incorrect?F Is it possible for an airplane to maintain a constant velocity vectorbut not a constant |v|? How about the opposite – a constant |v| but not aconstant velocity vector? Explain.206 Chapter 3 Conservation of Momentum