Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 1, Problem 9P

(a)

To determine

The given equation is dimensionally correct or not.

(b)

To determine

The given equation is dimensionally correct or not.

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Express F as a vector in terms of the unit vectors i, j, and k. Determine the angle between F and the positive y-axis. Assume r, = 25 mm, ry = 50 mm, r; = 140 mm, F = 75 N. Dimensions in millimeters Answers: F= (i i+ i j+ i k) N 8, -
Consider the physical quantities m, s, v, a, t, and r with dimensions [m] = M, [s] = L, [v] = LT–1, [a] = LT–2, [t] = T, and [r] = L. Assuming each of the following equations is dimensionally consistent, find the dimension of the quantity on the left-hand side of the equation: (a) F = ma; (b) K = 0.5mv2; (c) p = mv; (d) W = mas; (e) L = mvr.
(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)² + (OP₂)². Enter to 2 significant figures OP = cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP=√(OP)² + (OP₁)². Enter to 2 significant figures OP = cm (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other ◆ change.

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Physics for Scientists and Engineers with Modern Physics

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Publisher:Cengage Learning