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# Compute the x - and y -components of the vectors and in ISBN: 9780321675460 31

## Solution for problem 31E Chapter 1

University Physics | 13th Edition

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Problem 31E

Compute the x - and y -components of the vectors and in Fig. E1.24.

Step-by-Step Solution:

Solution 31E If a vector A making an angle with the positive x axis, the we can write that, the x component of the vector is A = |A|cos x And y component of the vector is A y |A|sin Now from the given figure, first we have to calculate the angle of the vector making with the positive x axis and then we can calculate the components. The figure is: Step 1 (vector A). a) vector A is parallel to the negative y axis, hence the angle , that vector A is making with the positive x axis is = 270° The magnitude of the vector is |A| = 8.00 m So the x component of the vector ix A = |A|cos = (8.00 m)cos270° = 0 The y component of the vector isyA = (8.00 m)sin270° = 8.00 m Step 2 (vector B ) The angle of vector B with the positive x axis is = 90.0° 30.0° = 60.0° And the magnitude is|B| = 15.0 m B = (15.0 m)cos60° = 7.50 m Hence the x component is x The y component is By= (15.0 m)sin60° = 13.0 m

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 31E from chapter: 1 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 31E from 1 chapter was answered, more than 265 students have viewed the full step-by-step answer. This full solution covers the following key subjects: components, compute, fig, vectors. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “Compute the x - and y -components of the vectors and in Fig. E1.24.” is broken down into a number of easy to follow steps, and 14 words. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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