University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 2, Problem 45P
Two points in the Cartesian plane are
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LON UAL
Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6,50, 6.50) m.
(a) Determine the distance between these points.
15.24
m
(b) Determine their polar coordinates.
(3.50, -5.00)
r= 6.10
(3.50, -5.00)
e = |-55
° counterclockwise from the +x-axis
(-6.50, 6.50)
r = 9.19
(-6.50, 6.50)
45 X
o counterclockwise from the +x-axis
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Two vectors are given by a = 2.0ĩ + 5.0j and b = 3.0i + 9.07. Find
(a) a x b, (b) a. b, (c) (a + b"). b, and (d) calculate the angle between these two vectors
Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m.
(a) Determine the distance between these points.
m
(b) Determine their polar coordinates.
(2.50, -6.00)
r =
(2.50, -6.00)
° counterclockwise from the +x-axis
(-4.50, 4.50)
r =
(-4.50, 4.50)
° counterclockwise from the +x-axis
Chapter 2 Solutions
University Physics Volume 1
Ch. 2 - Check Your Understanding Two motorboats named...Ch. 2 - Check Your Understanding A cave diver enters a...Ch. 2 - Check Your understanding Using the three...Ch. 2 - Check your Understanding A blue fly lands on a...Ch. 2 - Check Your Understanding If the displacement...Ch. 2 - Check Your Understanding If Trooper runs 20 m west...Ch. 2 - Check Your Understanding If the average velocity...Ch. 2 - Check Your understanding Three displacement...Ch. 2 - Check Your Understanding Suppose that Balto in...Ch. 2 - Check Your Understanding Verify that vector v V...
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Is it necessary to...Ch. 2 - Can a magnitude of a vector be negative?Ch. 2 - Can the magnitude of a particle’s displacement be...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If three vectors sum up to zero, si1at geometric...Ch. 2 - Give an example of a nonzero vector that has a...Ch. 2 - Explain why a vector cannot have a component...Ch. 2 - If two vectors are equal, what can you say about...Ch. 2 - If vectors A and B are orthogonal, what is the...Ch. 2 - If one of the two components of a vector is not...Ch. 2 - If two vectors have the same magnitude, do their...Ch. 2 - What is wrong with the following expressions? 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(b) If AF=BF...Ch. 2 - You fly 32.0 km in a straight line in still air in...Ch. 2 - Rectangular coordinates of a point are given by...Ch. 2 - If the polar coordinates of a point are (r,)and...Ch. 2 - Prob. 74APCh. 2 - Starting at the island of Moi in an unknown...Ch. 2 - An air traffic controller notices two signals from...Ch. 2 - Show that when A+B=C then A2+B2+2ABcos , where is...Ch. 2 - Four force vectors each have the same magnitude...Ch. 2 - A skater glides along a circular path of radius...Ch. 2 - A stubborn dog is being walked on a leash by its...Ch. 2 - If the velocity vector of a polar bear is u=(-18.0...Ch. 2 - Find the scalar components of three-dimensional...Ch. 2 - A diver explores a shallow reef off the coast of...Ch. 2 - A force vector A has x and y components,...Ch. 2 - Vectors A and B are two orthogonal vectors in the...Ch. 2 - For the three-dimensional vectors in the following...Ch. 2 - Show that (BC)A is the volume of the...Ch. 2 - Vector B is 5.0 cm long and vector A is 4.0 cm...Ch. 2 - What is the component of the force vector G=(3.0...Ch. 2 - The following figure shows a triangle formed by...Ch. 2 - between points in a plane do not change when a...
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