Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 5, Problem 31P
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A force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes.
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Chapter 5 Solutions
Physics for Scientists and Engineers, Vol. 1
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- Find the angle between vectors for (a)D ⃗ = (−3.0i ^ − 4.0j ^ )m and A ⃗ = (−3.0i ^ + 4.0j ^ )m and (b)D ⃗ = (2.0i ^ − 4.0j ^ +k ^ )m and B ⃗ = (−2.0i ^ + 3.0j ^ + 2.0k ^ )m .arrow_forwardWhat is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?arrow_forwardLet z(t) = t - sin(t) and y(t) = 1- cos(t) All answers should be decimals rounded to 2 decimal places. At t = 5 x(t) = 5.96 y(t) = 0.72 08 dx 0.72 dt dy dt dy da speed= 1.2 -0.96 tangent slope = 0° 1.33 M 1.5 13 0.5 0- 0 CYCLOIDarrow_forward
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- Normalise these vectors to have length 1. 10 ab becomes 4 6 ab sin (a) becomes sin (a) Ә dx f ə f əx ⠀ ∞ ∞ a a Ω Ω Earrow_forward(Dimensional Analysis) To test the performance of a car, a driver wishes to find the speed v of the car a certain time t after it started moving. Assuming that P is the power delivered by the engine and the mass of the car is m. v « pªtbmr (a) Use dimensional analysis to find a, B, and y. The SI unit of P is kg m2/s³. (b) Write the formula accordingly including the values of a, ß, and y.arrow_forwardThe magnitude of the force F is 720 Ib. Express F as a vector in terms of the unit vectors i and j. Identify both the scalar and vector components of F. Y, ft F = 720 Ib | -x, ft |_ 33° A (6,-1) Answers: Vector expression: F = (L 5) Ib the tolerance is +/-2% Scalar components: Fx = |Ib, Fy = Ib Vector components: Fx |i lb, Fy = Ibarrow_forward
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