7. Colin walks 75.0° north of east for 0.800 km. Dennis doesn't like walking along a diagonal path, so he walks due east, then turns due north to meet up with Colin. How far does Dennis walk due east? How far does he then walk due north? Verify that your answer is correct using the Pythagorean Theorem.

7. Colin walks 75.0° north of east for 0.800 km. Dennis doesn't like walking along a diagonal path, so he walks due east, then turns due north to meet up with Colin. How far does Dennis walk due east? How far does he then walk due north? Verify that your answer is correct using the Pythagorean Theorem.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 55PQ: Two birds begin next to each other and then fly through the air at the same elevation above level...

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Problems of chapter 2 and 3: 1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the cartesian coordinates of this point? 2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north), 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components. 3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A - B + 3C= 0, what are the components of C? 4. The vectors A and B are given by A = 2i +3j and B = -i+2j. (a) Determine the scalar product A.B. (b) Find the angle 0 between A and B. (c) Determine the vector product AXB. 5. The vector position of a particle varies in time according to the expression r = (3.00i - 6.00t 2 j) m. (a) Find expressions for the velocity and acceleration as functions of time. (b) Determine the particle's position…
1. The polar coordinates of a point are r =5.50 m and 0 = 240°. What are the cartesian coordinates of this point? 2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north), 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components. 3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A - B + 3C= 0, what are the components of C? 4. The vectors A and B are given by A 2i +3j and B = -i +2j. (a) Determine the scalar product A.B. (b) Find the angle 0 between A and B. (c) Determine the vector product AXB. 5. The vector position of a particle varies in time according to the expression r = (3.00i - 6.00t 2 j) m. (a) Find expressions for the velocity and acceleration as functions of time. (b) Determine the particle's position and velocity at t = 1.00 s. 6. A…