Concept explainers
You are participating in a summer internship with the Coast Guard. You have been assigned the duty of determining the direction in which a Coast Guard speedboat should travel to intercept unidentified vessels. One day, the radar operator detects an unidentified vessel at a distance of 20.0 km from the radar installation in the direction 15.0° east of north. The vessel is traveling at 26.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat, which travels at 50.0 km/h, to travel in a straight line from the radar installation to intercept and investigate the vessel, and asks you for the heading for the speedboat to take. Express the direction as a compass bearing with respect to due north.
Trending nowThis is a popular solution!
Chapter 4 Solutions
Physics for Scientists and Engineers
- A plane leaves Denver and travels 239 miles bearing N77 degrees W, then makes a course correction and travels N33 degrees W for 95 miles. How many miles north of Denver did they travel (round to two decimal places)?arrow_forwardOasis B is 25 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction 15° south of east and then walks 8.0 km due north. How far is the camel then from oasis B?arrow_forwardSuppose Alex is navigating using a compass. She starts walking at an angle 60° north of east and walks a total of 100 m. How far north is she from her starting point? How far east?arrow_forward
- A runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of the dog's total displacement vector is 0.91 km, what is the magnitude of the dog's displacement vector in the due west direction? 0.52 km 0.33 km 0.27 km 0.65 kmarrow_forwardA ship captain is sailing through the Pacific Ocean. He started from a harbor in Hawaii and travelled 100 km, 50 degrees W of S. Then he did a 90-deg clockwise turn and then moved 50 km further. After that, the ship captain steered the ship by 90 degrees counterclockwise and then moved by 20 km. Let these vectors to be named as A (red vector), B (blue vector), C (orange vector). 1. Find the magnitude of the resultant vector. CHOICES: a. 167.4 km b. 152.3 km c. 169.46 km d. 170.46 km 2. Find the angle of the resultant vector relative to y axis. CHOICES a. 40 degrees b. 47.06 degrees c. 50 degrees d. 53.12 degreesarrow_forwardCalculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km 60* NE.2) An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north. Finally, it returns to its starting point by travelling a distance of 525 km. How far did the airplane travelled due north?arrow_forward
- A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the duck from where he started? What angle (with respect to east) would the duck need to travel to get back where he started?arrow_forwardJonah is walking along a trail. The trail heads east for 1350 meters, before turning north and continuing for 990 meters. At the end of the trail, what is Jonah's displacement vector? Options: 1670 m, 36.3∘36.3∘ north of east 1670 m, 36.3∘ east of north 2340 m, 31.0∘ east of north 2340 m, 31.0∘ north of eastarrow_forwardTo get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing direction due north. If the container ship travels 15 km north from where it changed direction, what is the bearing of the ship relative to the starting point in the harbor?arrow_forward
- Given the following three force vectors in terms of their magnitude and directions, find the magnitude of the resultant force: F1 = 1259.98 N @ 15.3 degrees F2 = 987.55 N @ 260.5 degrees F3 = 1555.47 N @ 162.3 degreesarrow_forwardRev is taking a walk following these magnitudes and directions: 11km North and 11km East. what is the direction of the resultant? a) 45 degrees b) 270 degrees c) 90 degrees d) 280 degreesarrow_forwardYou are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north of west for 65.5 paces, and finally walk due north for 11.9 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b) due west?arrow_forward
- Principles 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