Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table. B + C +A= ??? Scale: 1 square= 5 km along edge A +2 D R H F List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are -). Vector B с A Resultant Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW direction of R. Magnitude: 33.5 Direction: km X 10 5 0 15 °CCW y 0 -10 -20 -30 Check Answers Use the Number Pad to enter the value of ... 7 4 1 0 с Resultant Direction (°CCW) 8 5 2 9 6 3 +/- Backspace Once done, tap the Enter button. Enter

Use the diagram and scale to determine the magnitude and direction of the resultant for the vector addition equation. Begin with the table. B + C +A= ??? Scale: 1 square= 5 km along edge A +2 D R H F List the magnitude and direction of each vector. Use a +/- sign for direction (left and down are -). Vector B с A Resultant Use table values, the diagram, SOH CAH TOA, and the Pythagorean theorem to determine the magnitude and CCW direction of R. Magnitude: 33.5 Direction: km X 10 5 0 15 °CCW y 0 -10 -20 -30 Check Answers Use the Number Pad to enter the value of ... 7 4 1 0 с Resultant Direction (°CCW) 8 5 2 9 6 3 +/- Backspace Once done, tap the Enter button. Enter

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 50P: A small plane flies 40.0 km ma direction 60 north of east and then flies 30.0 km in a direction 15...

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A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
Assuming the +x-axis is horizontal to the right for the vectors in the previous figure, find the following vector products: AC , (b) AF , (c) DC , (d) A(F+2C) , (e) iB , (f) jB , (g)
Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a) the component of vector Aalong vector C , (b) the component of vector Calong vector A , (c) the component of vector i along vector F , and (d) the component of vector Falong vector i .
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
A fly enters through an open window and zooms around the room. In a Cartesian coordinate system with three axes along three edges of the room, the fly changes its position from point b(4.0m,1.5m,2.5m) to point e(1.0m,4.5in,0.5m) . Find the scalar components of the fly’s displacement vector and express its displacement vector in vector component form. What is its magnitude?
For the three-dimensional vectors in the following figure, find (a) GH , (b) GH , and (c) GH .
Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF . The three displacement vectors A , B , and C in Figure 2.13 are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
Check Your understanding Three displacement vectors A , B , and F in (Figure 2.13) are specified by their magnitudes A=10.0,B=7.0 and F=20.00 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =110 . The physical units of the magnitudes are centimeters. Use the analytical method to find vector G=A+2BF . Verify that G=28.15cm and that G=68.65 . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a convenient scale, and use a ruler and a protractor to find vector G given by the vector equation G=A+2BF . The three displacement vectors A , B , and C in Figure are specified by their magnitudes A=10.0,B=7.0 and C=8.0 , respectively, and by their respective direction angles with the horizontal direction =35,=110 , and =30 . The physical units of the magnitudes are centimeters. Choose a convenient scale and use a ruler and a protractor to find the following vector sums: (a) R=A+B , (b) D=AB , and (c) S=A3B+C .
Four force vectors each have the same magnitude f.What is the largest magnitude the resultant force vector may have when these forces are added? What is the smallest magnitude of the resultant? Make a graph of both situations.
A pedestrian walks 6.0 km east and then 13.0 km north. Use a graphical method to find the pedestrian’s resultant displacement and geographic direction.