1 A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of d₁ = 157 cm and makes an angle of ₁ = 125° with the positive x axis. The resultant displacement has a magnitude of R = 138 cm and is directed at an angle of ₂ = 33.0° to the positive x axis. Find the magnitude and direction of the second displacement. Step 1 The diagram suggests that ď₂ is larger than either of the other vectors and is in a fourth-quadrant direction. y Ꮎ . Step 2 We use the component meth subtraction. a precise answer. We already know the Step 3 The resultant displacement of the mop is R = ₂ + ď₂ 1 Then d₂ = R-d₁ Substituting, ₂ = (138✔ 138 cm at 33.0°) - (157✔ ant displacement, so the algebra of solving a vector equation will guide us to 157 cm at 125°). a

1 A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of d₁ = 157 cm and makes an angle of ₁ = 125° with the positive x axis. The resultant displacement has a magnitude of R = 138 cm and is directed at an angle of ₂ = 33.0° to the positive x axis. Find the magnitude and direction of the second displacement. Step 1 The diagram suggests that ď₂ is larger than either of the other vectors and is in a fourth-quadrant direction. y Ꮎ . Step 2 We use the component meth subtraction. a precise answer. We already know the Step 3 The resultant displacement of the mop is R = ₂ + ď₂ 1 Then d₂ = R-d₁ Substituting, ₂ = (138✔ 138 cm at 33.0°) - (157✔ ant displacement, so the algebra of solving a vector equation will guide us to 157 cm at 125°). a

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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