This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: hiarker (srh959) homework 07 Turner (58220) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points A particle undergoes three displacements. The first has a magnitude of 15 m and makes an angle of 35 with the positive x axis. The second has a magnitude of 8 m and makes an angle of 149 with the positive x axis. (see the figure below). After the third displacement the particle returns to its initial position. 149 35 1 5 m 8 m Find the magnitude of the third displace ment. Correct answer: 13 . 8341 m. Explanation: Given : bardbl vector A bardbl = 15 m , a = 35 , bardbl vector B bardbl = 8 m , and B = 149 . C A B A B C C Since vector A + vector B + vector C = 0 , we have vector C = vector A vector B . The components of the third displacement vector C are C x = A x B x = A cos A B cos b = (15 m) cos 35 (8 m) cos149 = (12 . 2873 m) ( 6 . 85734 m) = 5 . 42994 m and C y = A y B x = A sin A B sin b = (15 m) sin 35 (8 m) sin149 = (8 . 60365 m) (4 . 1203 m) = 12 . 724 m . The magnitude of vector C is bardbl vector C bardbl = radicalBig C 2 x + C 2 y = radicalBig ( 5 . 42994 m) 2 + ( 12 . 724 m) 2 = 13 . 8341 m . 002 (part 2 of 2) 10.0 points Find the angle of the third displacement (mea sured from the positive x axis, with counter clockwise positive within the limits of 180 to +180 ). hiarker (srh959) homework 07 Turner (58220) 2 Correct answer: 113 . 11 . Explanation: tan C = C y C x C = arctan bracketleftbigg C y C x bracketrightbigg = arctan bracketleftbigg ( 12 . 724 m) ( 5 . 42994 m) bracketrightbigg = 113 . 11 . 003 (part 1 of 2) 10.0 points Consider two vectors vector A and vector B and their re sultant vector A + vector B . The magnitudes of the vectors vector A and vector B are, respectively, 15 . 8 and 6 . 7 and they act at 96...
View
Full
Document
This note was uploaded on 04/23/2010 for the course PHY 303K taught by Professor Nui during the Spring '09 term at University of TexasTyler.
 Spring '09
 NUI
 Physics, Work

Click to edit the document details