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Unformatted text preview: MasteringPhysics http://session.masteringphysics.com/cgi-bin/CT.pl?teacherProblemVi... 1 of 2 10/29/2004 09:22 AM Options: show answer statistics report wrong answers submit Note: selecting options may require report generation times of several minutes for large classes Problem Solution/Report Part 1: Mechanics Chapter 1: Units, Physical Quantities, and Vectors Problem Title: Components of Vectors Problem Description: This problem asks students to find the components of graphed vectors; no trigonometry is involved. Shown is a 10 by 10 grid, with coordinate axes x and y . The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled through . This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. Part A. What is the x component of ? Hint 1. A component of a vector is its length (but with appropriate sign) along a particular coordinate axis, the axes being specfied in advance. You are asked for the component of A_vec that lies along the x axis, which is horizontal in this problem. Imagine two lines perpendicular to the x axis running from the head (end with the arrow) and tail of A_vec down to the x axis. The length of the x axis between the points where these lines intersect is the x component of A_vec. In this problem, the x component is the x coordinate at which the perpendicular from the head of the vector hits the origin (because the tail of the vector is at the origin). Express your answer to two significant figures. = 2.5 (+/- 8%) Part B. What is the y component of ? Express your answer to the nearest integer. = 3 (+/- 8%) MasteringPhysics http://session.masteringphysics.com/cgi-bin/CT.pl?teacherProblemVi... 2 of 2 10/29/2004 09:22 AM Part C. What is the y component of ? Hint 1. Don’t forget the sign. Express your answer to the nearest integer. =-3 (+/- 8%) Part D. What is the component of ? Hint 1. A vector is defined only by its magnitude and direction. The starting point of the vector is of no consequence to its definition. Therefore, you need to somehow eliminate the starting point from your answer. You can run two perpendiculars to the x axis, one from the head (end with the arrow) of C_vec , and another to the tail, with the x component being the difference between x coordinates of head and tail (negative if the tail is to the right of the head). Another way is to imagine bringing the tail of C_vec to the origin, and then using the same procedure you used before to find the components of A_vec and B_vec. This is equivalent to the previous method, but it might be easier to visualize. Express your answer to the nearest integer. =-2 (+/- 8%) The following questions will ask you to give both components of vectors using the ordered pairs method. In this method, the x component is written first, followed by a comma, and then the y component. For example, the components of A_vec would be written 2.5,3 in ordered pair notation....
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This note was uploaded on 06/18/2008 for the course PHYS 40c taught by Professor Allenzych during the Spring '08 term at UC Riverside.
- Spring '08