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3. Sketch each of the following vectors with its x and y components, and calculate the value of each component. (A sketch of vectors does not have to be measured.) (a) 35.0 m/s, 70.0° (b) 8.6 m, 135° (c) 842 km, 270.0 (060 m/s? 250° (C) 1?? cm 345 0°

3. Sketch each of the following vectors with its x and y components, and calculate the value of each component. (A sketch of vectors does not have to be measured.) (a) 35.0 m/s, 70.0° (b) 8.6 m, 135° (c) 842 km, 270.0 (060 m/s? 250° (C) 1?? cm 345 0°

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2:16 PM Sat Feb 5 41%OL E Not Secure - milliganphysics.com 10 - 13 Use vector components as a means of analyzing/solving 2-D motion problems. Add or subtract vectors analytically (using trigonometric calculations). Use vector addition or subtraction as a means of solving relative velocity 14, 15 16-20 9 problems. State the horizontal and vertical relations for projectile motion and use the same to solve projectile problems and apply vector properties to projectile 21 - 38 Homework problems 1 and 2 should be solved by drawing and measuring vectors with ruler and protractor. This is called "constructing the vectors" or "graphical method". You need not calculate answers. 1. An airplane flies the following vectors (legs) of a flight: 26 km, 90° and then 62 km, 30°. Use the graphical method to determine the resulting displacement of the plane. 2. Three forces act on point P. Force A equals 80.0 N, 60.0°. Force B equals 70.0 N, 0.0°. Force C equals 40.0 N, 315.0°. (a) Add the vectors in the order A +B + C by the graphical method. (b) Draw and measure the sum of the same vectors but in a different order (e.g. C + A+B = ?). (c) Are the answers to (a) and (b) the same? Should they be? Explain. Note: All of the remaining homework problems should be solved by calculation and do not require construction with ruler and protractor. Remember to show your work as usual!!! 3. Sketch each of the following vectors with its x and y components, and calculate the value of each component. (A sketch of vectors does not have to be measured.) (a) 35.0 m/s, 70.0° (c) 842 km, 270.0 (f) 6.0 m/s², 250° (b) 8.6 m, 135° (d) 13.6 km/h, 0.0° 4. A boat travels on a course of 40.0° north of east for a distance of 300 km. How far north and how far east of its starting point does the boat sail? 5. Given the components below, sketch the vector and calculate its magnitude and direction. (a) Ax = 34.0 m, Ay = -34.0 m (c) Cx = -8.0 m/s², C, = 6.00 m/s² (e) 122 cm, 345.0° (b) Bx = 0.0 km, B, = 150.0 km (d) D = -18.0 m/s, D, =-15.0 m/s (e) E = 2.6 cm/s, Ey = 7.4 cm/s 6. A ship leaves its home port expecting to travel to a port 500 km due south. Before it can move, from its destination? In what direction must the ship travel to reach its destination? 7. A thingamajig initially 5.00 m, 90.0° from a three-pronged widget is displaced 4.00 m, 180.0°. What is the thingamajig's final position relative to the three-pronged widget? 8. A weather station releases a weather balloon. The balloon's buoyancy accelerates it upward at 15 m/s. At the same time, a wind accelerates it horizontally to the right at 6.5 m/s. What is the resulting acceleration? 9. An airplane with initial position 345 km, 180.0° from Knoxville travels to a position of 305 km, 270.0° from Knoxville in 2.00 hours. Find its average velocity. 10. After opening her parachute at a height 1200 m, a skydiver has constant velocity 6.0 m/s, along a diagonal path tilted 20° from vertical (as she is carried by a steady horizontal wind). (a) Find the time to reach the ground. (b) Determine the speed of the wind. 11. An airplane and a helicopter leave an airport in Montana at the same time. The aircrafts' velocities: va= 225 mph, 20.0°, vh = 102 mph, 49.0°. If these velocities are maintained (f) F = -10.0 mm, Fy = 0.0 mm severe storm comes up and blows the ship 100 km due east. How far is the ship which craft will cross the border into Canada first? Or do they arrive at the same time? 12. The high noon sun shines straight down on an airplane that is climbing through the atmosphere at an angle of 8.0° from horizontal. The plane's climb rate is 750 meters per Thie he bieh ite eltitud
Transcribed Image Text:2:16 PM Sat Feb 5 41%OL E Not Secure - milliganphysics.com 10 - 13 Use vector components as a means of analyzing/solving 2-D motion problems. Add or subtract vectors analytically (using trigonometric calculations). Use vector addition or subtraction as a means of solving relative velocity 14, 15 16-20 9 problems. State the horizontal and vertical relations for projectile motion and use the same to solve projectile problems and apply vector properties to projectile 21 - 38 Homework problems 1 and 2 should be solved by drawing and measuring vectors with ruler and protractor. This is called "constructing the vectors" or "graphical method". You need not calculate answers. 1. An airplane flies the following vectors (legs) of a flight: 26 km, 90° and then 62 km, 30°. Use the graphical method to determine the resulting displacement of the plane. 2. Three forces act on point P. Force A equals 80.0 N, 60.0°. Force B equals 70.0 N, 0.0°. Force C equals 40.0 N, 315.0°. (a) Add the vectors in the order A +B + C by the graphical method. (b) Draw and measure the sum of the same vectors but in a different order (e.g. C + A+B = ?). (c) Are the answers to (a) and (b) the same? Should they be? Explain. Note: All of the remaining homework problems should be solved by calculation and do not require construction with ruler and protractor. Remember to show your work as usual!!! 3. Sketch each of the following vectors with its x and y components, and calculate the value of each component. (A sketch of vectors does not have to be measured.) (a) 35.0 m/s, 70.0° (c) 842 km, 270.0 (f) 6.0 m/s², 250° (b) 8.6 m, 135° (d) 13.6 km/h, 0.0° 4. A boat travels on a course of 40.0° north of east for a distance of 300 km. How far north and how far east of its starting point does the boat sail? 5. Given the components below, sketch the vector and calculate its magnitude and direction. (a) Ax = 34.0 m, Ay = -34.0 m (c) Cx = -8.0 m/s², C, = 6.00 m/s² (e) 122 cm, 345.0° (b) Bx = 0.0 km, B, = 150.0 km (d) D = -18.0 m/s, D, =-15.0 m/s (e) E = 2.6 cm/s, Ey = 7.4 cm/s 6. A ship leaves its home port expecting to travel to a port 500 km due south. Before it can move, from its destination? In what direction must the ship travel to reach its destination? 7. A thingamajig initially 5.00 m, 90.0° from a three-pronged widget is displaced 4.00 m, 180.0°. What is the thingamajig's final position relative to the three-pronged widget? 8. A weather station releases a weather balloon. The balloon's buoyancy accelerates it upward at 15 m/s. At the same time, a wind accelerates it horizontally to the right at 6.5 m/s. What is the resulting acceleration? 9. An airplane with initial position 345 km, 180.0° from Knoxville travels to a position of 305 km, 270.0° from Knoxville in 2.00 hours. Find its average velocity. 10. After opening her parachute at a height 1200 m, a skydiver has constant velocity 6.0 m/s, along a diagonal path tilted 20° from vertical (as she is carried by a steady horizontal wind). (a) Find the time to reach the ground. (b) Determine the speed of the wind. 11. An airplane and a helicopter leave an airport in Montana at the same time. The aircrafts' velocities: va= 225 mph, 20.0°, vh = 102 mph, 49.0°. If these velocities are maintained (f) F = -10.0 mm, Fy = 0.0 mm severe storm comes up and blows the ship 100 km due east. How far is the ship which craft will cross the border into Canada first? Or do they arrive at the same time? 12. The high noon sun shines straight down on an airplane that is climbing through the atmosphere at an angle of 8.0° from horizontal. The plane's climb rate is 750 meters per Thie he bieh ite eltitud
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