Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
1st Edition
ISBN: 9781305259836
Author: Debora M. Katz
Publisher: Cengage Learning
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Chapter 4, Problem 34PQ
A graduate student discovers that the only centrifuge in the laboratory is malfunctioning. The angular speed ω was supposed to be adjustable, but now it is stuck on a high angular speed, and the student is running an experiment that requires a low translational speed. Fortunately, the arm is adjustable. What can the student do to the length of the arm to get the correct translational speed?
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Taking a Hike
A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower.
y (km)
Can
N
W-DE
45.0°
60.0°
Tent
Tower
B
x (km)
☹
(a) Determine the components of the hiker's displacement for each day.
SOLUTION
Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown.
Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…
Chapter 4 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
Ch. 4.1 - CASE STUDY How Many Dimensions? In each case,...Ch. 4.2 - Based on the particles motion diagram in Figure...Ch. 4.3 - Prob. 4.3CECh. 4.5 - Prob. 4.4CECh. 4.5 - Prob. 4.5CECh. 4.6 - A particle travels at a uniform linear speed...Ch. 4.8 - Prob. 4.7CECh. 4 - Prob. 1PQCh. 4 - In each case, determine whether the object is...Ch. 4 - CASE STUDY Imagine an indoor tennis court on a...
Ch. 4 - A basketball player dribbles the ball while...Ch. 4 - A motion diagram of a bouncing ball is shown in...Ch. 4 - Prob. 6PQCh. 4 - Prob. 7PQCh. 4 - Figure P4.8 shows the motion diagram of two balls,...Ch. 4 - Prob. 9PQCh. 4 - Prob. 10PQCh. 4 - Prob. 11PQCh. 4 - If a particles speed is always increasing, what...Ch. 4 - Prob. 13PQCh. 4 - An aircraft flies at constant altitude (with...Ch. 4 - A glider is initially moving at a constant height...Ch. 4 - If the vector components of the position of a...Ch. 4 - A If the vector components of a particles position...Ch. 4 - Prob. 18PQCh. 4 - A The spiral is an example of a mathematical form...Ch. 4 - A circus performer stands on a platform and throws...Ch. 4 - Anthony carelessly rolls his toy car off a...Ch. 4 - A physics student stands on a second-story balcony...Ch. 4 - During the battle of Bunker Hill, Colonel William...Ch. 4 - A During the battle of Bunker Hill, Colonel...Ch. 4 - A softball is hit with an initial velocity of 29.0...Ch. 4 - Figure P4.8 shows the motion diagram of two balls....Ch. 4 - A circus performer throws an apple toward a hoop...Ch. 4 - An arrow is fired with initial velocity v0 at an...Ch. 4 - A rock is thrown horizontally off a 56.0-m-high...Ch. 4 - A projectile is launched up and to the right over...Ch. 4 - Sienna tosses a ball from the window of her...Ch. 4 - Some cats can be trained to jump from one location...Ch. 4 - Dock diving is a great form of athletic...Ch. 4 - A graduate student discovers that the only...Ch. 4 - The bola is a traditional weapon used for tripping...Ch. 4 - In three different driving tests, a car moves with...Ch. 4 - A child swings a tennis ball attached to a 0.750-m...Ch. 4 - A Two particles A and B move at a constant speed...Ch. 4 - Prob. 39PQCh. 4 - Prob. 40PQCh. 4 - Prob. 41PQCh. 4 - A pendulum constructed with a bowling ball at the...Ch. 4 - Prob. 43PQCh. 4 - Prob. 44PQCh. 4 - Pete and Sue, two reckless teenage drivers, are...Ch. 4 - Prob. 46PQCh. 4 - Prob. 47PQCh. 4 - A brother and sister, Alan and Beth, have just...Ch. 4 - A man paddles a canoe in a long, straight section...Ch. 4 - Prob. 50PQCh. 4 - Prob. 51PQCh. 4 - Prob. 52PQCh. 4 - Suppose at one point along the Nile River a...Ch. 4 - Prob. 54PQCh. 4 - Prob. 55PQCh. 4 - Prob. 56PQCh. 4 - Prob. 57PQCh. 4 - Two bicyclists in a sprint race begin from rest...Ch. 4 - A particle has a nonzero acceleration and a...Ch. 4 - A golfer hits his approach shot at an angle of...Ch. 4 - You are watching a friend practice archery when he...Ch. 4 - Prob. 62PQCh. 4 - Prob. 63PQCh. 4 - David Beckham has lined up for one of his famous...Ch. 4 - Prob. 65PQCh. 4 - Prob. 66PQCh. 4 - Prob. 67PQCh. 4 - Frequently, a weapon must be fired at a target...Ch. 4 - Prob. 69PQCh. 4 - Prob. 70PQCh. 4 - Prob. 71PQCh. 4 - An observer sitting on a park bench watches a...Ch. 4 - Prob. 73PQCh. 4 - Prob. 74PQCh. 4 - Prob. 75PQCh. 4 - Prob. 76PQCh. 4 - Prob. 77PQCh. 4 - Prob. 78PQCh. 4 - A circus cat has been trained to leap off a...Ch. 4 - Prob. 80PQCh. 4 - An experimentalist in a laboratory finds that a...Ch. 4 - Prob. 82PQ
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