Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 15.5, Problem 1dTH
Rank the following quantities in order of decreasing magnitude from largest to smallest: (i) the displacement of the kayak in the frame of boat A, (ii) the displacement of the kayak in the frame of boat B, (iii) the distance between boat A and boat B at time
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The figure shows two railway cars with a buffer spring. We want to investigate the transfer of momentum that occurs after car 1 with initial velocity v0 impacts car 2 at rest. The differential equation is given below. Show that the eigenvalues of the coefficient matrix A are λ1=0 and λ2=−c1−c2, with associated eigenvectors v1=
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T
and
v2=
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ci=k /mi for i=1, 2
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Chapter 15 Solutions
Tutorials in Introductory Physics
Ch. 15.1 - Describe the motion. During which periods of time,...Ch. 15.1 - Find the object’s instantaneous velocity at each...Ch. 15.1 - For each of the following intervals, find the...Ch. 15.1 - In which of the cased from part c, if any, is the...Ch. 15.1 - In the interval from t=0s to t=6s , does the...Ch. 15.1 - In the small box on the graph above is a portion...Ch. 15.1 - Next, we expand the section of the previous graph...Ch. 15.1 - All three graphs are representations of the same...Ch. 15.1 - Suppose that the object is speeding up. Which of...Ch. 15.1 - Suppose that the object is slowing down. Which of...
Ch. 15.1 - Describe how you could use these devices to...Ch. 15.1 - Describe how you could use these devices to...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - In each of the following exercises, a motion will...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.2 - There are several answers for most of the...Ch. 15.3 - A ball rolls up, then down an incline. Sketch an...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Sketch x versus t, v versus t, and a versus t...Ch. 15.3 - Describe the motion of an object: For which the...Ch. 15.3 - Describe the motion of an object: b. For which the...Ch. 15.3 - Describe the motion of an object: c. For which the...Ch. 15.3 - Describe the motion of an object: d. For which the...Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - Two carts roll toward each other on a level table....Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - In this problem, a Cart moves in various ways on a...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Carts A and B move along a horizontal track. The...Ch. 15.3 - Two cars, C and D, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.3 - Two cars, P and Q, travel in the same direction on...Ch. 15.4 - Prob. 1aTHCh. 15.4 - Prob. 1bTHCh. 15.4 - Describe how you would determine the acceleration...Ch. 15.4 - Copy vG and vH (placed “tailtotail”) in the space...Ch. 15.4 - Generalize your results above and from tutorial to...Ch. 15.4 - For each instant, state whether the object is...Ch. 15.4 - The diagram at right illustrates how the...Ch. 15.4 - For each of the instants 14, compare your...Ch. 15.4 - Choose a point about 1/8th of the way around the...Ch. 15.4 - Prob. 3bTHCh. 15.4 - How would you characterize the direction of v as...Ch. 15.4 - Each of the following statements in incorrect....Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - On the diagram at right, draw vectors that...Ch. 15.4 - Draw arrows on the diagram at points AG to...Ch. 15.4 - Next to each of the labeled points, state whether...Ch. 15.4 - Draw arrows on the diagram below to show the...Ch. 15.4 - On the diagram at right, draw velocity vectors for...Ch. 15.4 - On the diagram at right, draw the acceleration...Ch. 15.4 - How does the magnitude of the acceleration at E...Ch. 15.5 - Reference frame of boat B: Complete the upper...Ch. 15.5 - Reference frame of boat A: Complete the diagram at...Ch. 15.5 - Is the speed of the kayak in the frame of boat A...Ch. 15.5 - Rank the following quantities in order of...Ch. 15.5 - A third riverboat, boat C, moves downstream so as...Ch. 15.5 - Prob. 2aTHCh. 15.5 - A car, a truck, and a traffic cone are on a...Ch. 15.5 - The relationship vcar,cone=vcar,truck+vtruck,cone...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - Car P moves to the west with constant speed v0...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...Ch. 15.5 - A bicycle coasts up a hill while a car drives up...
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