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,...

See similar textbooks

Similar questions

A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.
A chameleon is resting quietly on a lanai screen, waiting for an insect to come by. Assume the origin of a Cartesian coordinate system at the lower left-hand corner of the screen and the horizontal direction to the right as the +x -direction. If its coordinates are (2.000 m, 1.000 m), (a) how far is it from the corner of the screen? (b) What is its location in polar coordinates?
Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225 with the positive x axis and has magnitude 30.0 miles, and if the resultant displacement is directed at an angle of 75.0 with the positive x axis and magnitude 22.0 miles, what are the magnitude and direction of the second displacement?
Please don't reject I req to u solve for me ok. Topic: Vector 1. A spelunker is surveying a cave. She follows a passage 180 m straight west, then210 m in a direction east of south, and then 280 m at east of north. After a fourth unmeasured displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement. Solve only clean handwriting ok must. that's the only information that was provided
Solve the following problem. Show your complete and detailed solutions. Box or highlight your final answers. 1. Charlene walks 4cm East. She stops and drinks mango juice, then she walks another 3cm East. What is her total displacement? 2. Carol walks 4cm East and then proceeds 3cm North. What is her final displacement? 3. A boy walks 7cm East, then 4cm North and finally 4cm East. Find his final displacement.
Remaining Time: 1 hour, 21 minutes, 53 seconds. Question Completion Status: Question 3 A Moving to the next question prevents changes to this answer. O 121 Vector A has a magnitude 6 units and is in the direction of +x-axis. Vector B has a magnitude 4 units and lies in the xy-plane, making the angle a 30° with the +x-axis. Find the vector product C=AXB. 00 O O Take Test: Q1 Quiz 1 (AY 2022-2023) 12k 127 Type here to search Question 3 1 points Save A.
Jerome walks 100.0 meters at 40.0 degrees north of west, then 200.0 meters due south, then 50.0 meters at 10.0 degrees north of east. What is his resultant displacement? a) Estimate the displacement graphically. Component form: Polar form: b) Find the displacement using the component method. Give your answer in both polar form and component form. Component form: Polar form:
An airplane flies northwest for 250 mi and then west for 150 mi. Find the resultant (or sum) displacement vector by a) graphical method and b) the component method. 2. A ship was seen on a radar screen to be 10 km east of a particular location. Sometime later, the ship is at 12 km north of west. What is the displacement of the ship?
Suppose you walk 23.5 m straight west and then 19m straight north for a total magnitude of 30m. A. What is your displacement vector (in m)? Express your answer in vector form. Assume the +x-axis is to the east, and the +y-axis is to the north. B. What is the direction of your displacement ( in degrees counter clockwise from the x-axis)?
2D Component Analysis For Vector Addition 2. Perform the following vector operations using component analysis. Recombine the components of the resultant to express the resultant vector in magnitude and direction form. Use the x/y coordinate axes below for your analysis. a) Ad, = 85.0 km [N36.0°W], N, +y Ad2 = 122.0 km [W15.0°S], %3D Adg = Ad, + Adz = ? %3D E, +x Ad, = 370.0 m [S18.0°W], Adr = ad, + Ad, + Ad, = ? b) Ad, = 250.0 m [E], Ad, = 560.0 m [E35.0°S], %3D