I'm just starting out in physics and I don't really understand exactly what they're asking. How can the y-component be zero? I'm not good with vectors. ### Vector Analysis**Problem 4.**The vector **C** is shown in the diagram on the right.**(a)** Show the x-component \( C_x \) on the diagram. Is the x-component positive or negative?- *Answer:* Negative (as annotated in the diagram).**(b)** Show the y-component \( C_y \) on the diagram. Is the y-component positive or negative?- *Answer:* Positive (as annotated in the diagram).**(c)** In terms of \( C \) and \( \theta \), write expressions for \( C_x \) and \( C_y \).**(d)** Find a coordinate system in which the y-component of C is zero.**(e)** If \( |C| = 2 \) and \( \theta = 30^\circ \), calculate \( C_x \) and \( C_y \).### Diagram DescriptionThe diagram displays a vector **C** positioned in a two-dimensional coordinate system. The vector \( C \) forms an angle \( \theta = 30^\circ \) with the positive x-axis. The x-axis is labeled "adj" for the adjacent side with respect to the angle, and the y-axis is labeled "opp" for the opposite side.- **Vector Components:** - **\( C_x \):** This is the projection on the x-axis and is labeled as "adj" in the diagram. - **\( C_y \):** This is the projection on the y-axis and is labeled as "opp" in the diagram.- **Hypotenuse (hyp)**: The hypotenuse of the right triangle, represented by the vector **C**.### Solution StepsTo solve the given vector problems:- **(c) Expressions:** - \( C_x = C \cdot \cos(\theta) \) - \( C_y = C \cdot \sin(\theta) \)- **(d) Coordinate System Adjustment:** - Rotate the coordinate system such that the vector **C** lies entirely along one axis.- **(e) Calculations:** - Given \( |C| = 2 \) and \( \theta = 30^\circ \): - \( C_x = 2 \cdot \cos(30^\circ) = 2 \cdot \frac{\sqrt{3}}{2} = \sqrt

Answered: Image /qna-images/answer/952ffc4a-cc43-4eb8-b8e1-16874ec56342.jpg

4. The vector C is shown on the right. (a) Show the x-component Cx on the diagram. Is the x-component positive or negative? neg (b) Show the y-component Cy on the diagram. Is the y-component positive or negative? Pos (c) In terms of C and 0, write expressions for Cx and Cy. 2. ady (d) Find a coordinate system in which the y- component of C is zero. (e) If |C| = 2 and 0=30°, calculate Cx and Cy

4. The vector C is shown on the right. (a) Show the x-component Cx on the diagram. Is the x-component positive or negative? neg (b) Show the y-component Cy on the diagram. Is the y-component positive or negative? Pos (c) In terms of C and 0, write expressions for Cx and Cy. 2. ady (d) Find a coordinate system in which the y- component of C is zero. (e) If |C| = 2 and 0=30°, calculate Cx and Cy

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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