Tutorial Exercise Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 7.95 m northeast, and 16.7 m west. What is the resultant displacement? Step 1 On a morning after a raccoon has wandered through the back yard, your faithful dog is running around with his nose down, excitedly tracking back and forth on the ground. He will end up somewhat northwest of his starting point. Step 2 We use the unit-vector addition method. It is just as easy to add three displacements as to add two. Step 3 Take the direction east to be along the positive x axis with a unit vector of +î. Pay attention to negative signs and measure angles counterclockwise from the east (positive x axis). The three displacements can be written as: ď₁ = (-3.61 ✓ ĵ) m ď₂ and d = (7.95 = 5.62 ✓ cos 45 îm + 5.62 °)î m + (7.95 m sin 45 ✓ ĵm °)ĵ m (-14 Your response differs from the correct answer by more than 10%. Double check your calculations.Î) m.
Tutorial Exercise Your dog is running around the grass in your back yard. He undergoes successive displacements 3.61 m south, 7.95 m northeast, and 16.7 m west. What is the resultant displacement? Step 1 On a morning after a raccoon has wandered through the back yard, your faithful dog is running around with his nose down, excitedly tracking back and forth on the ground. He will end up somewhat northwest of his starting point. Step 2 We use the unit-vector addition method. It is just as easy to add three displacements as to add two. Step 3 Take the direction east to be along the positive x axis with a unit vector of +î. Pay attention to negative signs and measure angles counterclockwise from the east (positive x axis). The three displacements can be written as: ď₁ = (-3.61 ✓ ĵ) m ď₂ and d = (7.95 = 5.62 ✓ cos 45 îm + 5.62 °)î m + (7.95 m sin 45 ✓ ĵm °)ĵ m (-14 Your response differs from the correct answer by more than 10%. Double check your calculations.Î) m.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 54P: A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast,...
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