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- In Figure P1.49, find (a) the side opposite , (b) the side adjacent to . (c) cos , (d) sin , and (c) tan . Figure P1.492. A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of steps: one step towards east and then one step towards north, with each step corresponding to equal lengths. If after making 1000 pairs of steps, the robot can be found at 956.8m, 45° NE, what is the length of each step?Answer 1 and 2 ty 1. A vector lies in the x-y plane. For what orientations will both components be negative? A. The vector lies between 0° and 90° from the x-axis. B. The vector lies between 180° and 270° from the x-axis. C. None. Just like for vector magnitudes, components are always positive. D. The vector lies between 90° and 180° from the x-axis. 2. Which of the following statements is correct? A. If an equation is dimensionally correct it must be true and if an equation is not dimensionally correct it cannot be true. B. If an equation is dimensionally correct it may be true and if it is not dimensionally correct then it cannot be true. C. If an equation is dimensionally correct it must be true and if it is not dimensionally correct it may be true. D. If an equation is dimensionally correct it may be true and if an equation is not dimensionally correct it may be true.
- All the stars of the Big Dipper (part of the constellation Ursa Major) may appear to be the same distance from the earth, but in fact they are very far from each other. the figure shows the distances from the earth to each of these stars. The distances are given in light-years (ly), the distance that light travels in one year. One light-year equals 9.461 × 1015 m.. Dubhe 105 ly Megrez 81 ly Mizar 73 ly Alioth Merak 64 ly ע דר Alkaid Phad 138 ly 80 ly Part A Alkaid and Merak are 25.6° apart in the earth's sky. Find the distance in light- years from Alkaid to Merak. Express your answer in light-years. ΑΣφ ? ly Submit Request Answer Part B To an inhabitant of a planet orbiting Merak, how many degrees apart in the sky would Alkaid and our sun be? Express your answer in degrees. ? Submit Request Answer1. You travel in a direction exactly northeast and walk a total of 3 km. How much farther east are you compared to where you began? How much farther north are you?13. If I start in Greenville and drive 50 miles straight north and then turn and drive 100 miles straight west, how far away from Greenville am I. In what direction would I needed to have driven to get here directly?
- 3. For the vectors A, B, and C as shown in the figure, usse the specific methods to find the magnitude and direction of: a. The vector difference of B -C (triangle method) b. The vector sum of Ã+č (parallelogram method) c. The vector sum of D+Č + Ē (method of components) B (15.0 m) Ď (10.0 m) 30.0 53.0° 25.0 ċ(12.0 m) LÀ (8.00 m)Unit vector is equal to: a. Vector divided by its magnitude. b. Magnitude divided by its vector form. c. Vector divided by the square root of its magnitude. d. None of the above.If a vector has components Ax > 0, and Ay < 0, then the angle that this vector makes with the positive x-axis must be in the rangea.) 0° to 90°.b.) 90° to 180°.c.) 180° to 270°.d.) 270° to 360°.e.) It cannot be determined without additional information.
- 26. A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Modeling the Earth as flat, use this informa- tion to find the displacement from Dallas to Chicago.1. The angle ð that specifies the direction of vector C is A. tan '(C,/C,) y B. tan (C,/C.) -1 C. tan (|Cx|/Cy) D. tan (|C\/|C,y) E. tan (|Cy|/|C)3) Mariana decides to go camping at Crystal Lake. From her camping site, she walks 40.0 km in a direction 60.0 degrees north east toward's a forest ranger's tower. If she needed to provide her mother Michelle, still at the camping site, directions on how to get to the forest ranger's tower: (a) what would be the east and north directions she needs to provide her mom (she has no compass)?