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?

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?

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 29P: A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast,...

See similar textbooks

Similar questions

A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A, B, and A+B.
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
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 correspoding 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?
You are on a treasure hunt and your map says "Walk due west for 23.1 paces, then walk 40.0° north of west for 48.7 paces, and finally walk due north for 30.7 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west? (a) Number i (b) Number i T Units Units B OB W A N S E Start
A two-legged robot is programmed so that upon switching it on, it will do a repetitivepair of steps: one step towards east and then one step towards north, with each stepcorresponding to equal lengths. If after 1000 making pairs of steps, the robot can befound at 956.8 m , 45 degrees NE, what is the length of each step
A spelunker is surveying a cave. She follows a pas- sage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth unmeasured displacement, she finds herself back where she started. Determine the magnitude and direction of the fourth displacement.
Vectors A and B have equal magnitudes of 5.00. The sum of Á and B is the vector 6.00j. Determine the angle between A and B.
A roller-coaster car moves 200 ft. horizontally and then rise 135 ft. at an angle of 30.0O above the horizontal. It next travels 135 ft. at an angle of 40.0O downward. What is the displacement?