Concept explainers
Review. A highway curve forms a section of a circle. A car goes around the curve as shown in the helicopter view of Figure P1.48. Its dashboard compass shows that the car is initially heading due east. After it travels d = 840 m. it is heading θ = 3.5.0 south of east. Kind the radius of curvature of its path. Suggestion: You may find it useful to learn a geometric theorem staled in Appendix B.3.
Trending nowThis is a popular solution!
Chapter 1 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
Additional Science Textbook Solutions
University Physics with Modern Physics (14th Edition)
Physics (5th Edition)
Conceptual Integrated Science
Essential University Physics (3rd Edition)
College Physics: A Strategic Approach (4th Edition)
Physics: Principles with Applications
- 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 1.69arrow_forwardThree 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 P1.44arrow_forwardA U.S. gallon is a volume of 3.78 liters, where 1000 liters = 1000 L = 1 m3.How many gallons would it take to fill up a water tank that is a circular cylinder of height 2.00 m and radius 0.500 m? [Hint: The volumeof the cylinder is V = πR2H.]arrow_forward
- You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West, then 25 m straight east, and finally, 45 m, 75 degrees south of east. Using polygon method of vector addition, how far from the well and in what direction is the hidden treasure?arrow_forwardSophie is sitting in the stands, watching a car race around a circular track. The track has a radius of 68.0 meters, and the car passes Sophie approximately every 9.44 seconds. Based on these measurements, what is the car's speed? 31.9 m/s 50.1 m/s 29.0 m/s 45.3 m/sarrow_forwardSalim walk six miles in a straight line in a direction north of east, and he end up two miles east and several miles north. How many degrees north of east have Salim walked: Vector A⃗ A→ is 3.0 units in length and points along the positive x-axis; vector B⃗ B→ is 4.0 units in length and points along a direction 150° from the positive x-axis. What is the magnitude of the resultant when vectors A⃗ A→ and B⃗ B→ are added? A vector in the xy plane has a magnitude of 29m and an x component of 11m. The angle it makes with the positive x axis is: A force F=8N makes an angle of 45ᵒ with the horizontal. The X and Y component of the force are The dot product of the two vector is: IfA⃗ =4i^+3J^+5k^andB⃗ =−3i^+2J^+k^thenA⃗ +B⃗ :IfA→=4i^+3J^+5k^andB→=−3i^+2J^+k^thenA→+B→: The direction of resultant vector on (A×B⃗ →A×B→→): A→ . A→ =arrow_forward
- If a vector →A→ has the following components, use trigonometry to find its magnitude and the counterclockwise angle it makes with the +x axis: (a) Ax = 8.0 lb, Ay = 6.0 lb, (b) Ax = −24 m/s, Ay = −31 m/s, (c) Ax = −1500 km, Ay = 2000 km, (d) Ax = 71.3 N, Ay = −54.7 N.arrow_forwardAnswer items 1 to 3: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located? What is the product of two unit vectors where one is along the positive y-axis and the other is along the positive z-axis respectively? What is the product of two unit vectors where one is along the positive x-axis and the other is along the positive z-axis respectively? To get the unit vector in the direction of a given vector, the components of the vector must be divided to its magnitudearrow_forwardA person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the persons resultant displacement measured from the starting point? Figure P1.51arrow_forward
- Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40arrow_forwardA surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53arrow_forwardWhat is the y component of the vector shown in Figure OQ3.9? (a) 3 cm (b) 6 cm (c) 4 cm (d) 6 cm (e) none of those answersarrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning