Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 3 - Kinematics in Two Dimensions; Vectors - Problems: 6

Answer

a. First vector: V1x = -6.6 units, V1y = 0. Second vector: V2x = 4.875 units and V2y = 6.963 units. b. The sum vector has magnitude of 7.2 units and points at an angle of 104$^o$.

Work Step by Step

Use equations 3.3a and 3.3b to find the x and y components. V1x = -6.6 units, V1y = 0. V2x = 4.875 units and V2y = 6.963 units. The x-component of the sum is the sum of the x-components. Vsumx = -1.725 units The y-component of the sum is the sum of the y-components. Vsumy = 6.963 units The components are obtained. Use the Pythagorean theorem 3.4a to find the magnitude of the overall vector, and the definition of tangent, equation 3.4b, to find the angle. The vector has negative x-component and positive y-component, and points up and to the left. The sum vector has magnitude of 7.2 units and points at an angle of 104 degrees.
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