Physics for Scientists and Engineers, Volume 2
10th Edition
ISBN: 9781337553582
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 3, Problem 2P
(a)
To determine
The Cartesian coordinates of the two points.
(b)
To determine
The distance between the two points.
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Two points are given in polar coordinates by
(r, θ) = (1.80 m, 50.0°)
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(r, θ) = (4.00 m, −40.0°)
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Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°).
(a) Determine the Cartesian coordinates of these points.x = _ m
y= _ m
(4.50 m, 110.0°)
x=y=
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 =
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° counterclockwise from the +x-axis
Chapter 3 Solutions
Physics for Scientists and Engineers, Volume 2
Ch. 3.2 - Which of the following are vector quantities and...Ch. 3.3 - The magnitudes of two vectors A and B are A = 12...Ch. 3.3 - If vector B is added to vector A, which two of the...Ch. 3.4 - Choose the correct response to make the sentence...Ch. 3.4 - For which of the following vectors is the...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 2PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - Why is the following situation impossible? A...
Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - A minivan travels straight north in the right lane...Ch. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 19PCh. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Use the component method to add the vectors A and...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - In an assembly operation illustrated in Figure...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 3 - You are spending the summer as an assistant...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - Ecotourists use their global positioning system...Ch. 3 - A vector is given by R=2i+j+3k. Find (a) the...Ch. 3 - You are working as an assistant to an air-traffic...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - A pirate has buried his treasure on an island with...
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