Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 1.3, Problem 2aT
Choose two successive points. In the space at right, sketch the velocity vectors corresponding to those points. Draw the vectors side-by-side and label them
Determine the vector that must be added to the velocity at the earlier time to equal the velocity at the later time. Is the name change in velocity appropriate for this vector?
How does the direction of the change in velocity vector compare to the direction of the velocity vectors in this case?
Would your answer change if you were to select two different points during the time that the ball was speeding up? Explain.
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Students have asked these similar questions
A dog is so excited that they run from their pet bed 2m 25 degrees N of W to your bed, they then stop and turn around to run 4 m due S to where you are standing, they then run 0.4m 60 degrees N of E, only to finally run another 4m at a 45 degree angle S of E. Find the resultant vector that describes how far from the initial position your pet winds up by following the steps below:
a. Draw your vector diagram, labeling each vector and the resultant vector.
b. Separately draw each of the four vectors that will be added and find and box-in the x and y components (with appropriate signs) of each of the four vectors.
c. Use your previous work to find the resultant displacement vector and write the answer in unit vector notation.
You first walk 10 m at an angle of 30° east of north. Then you walk 15 m at an angle of 45° south of east. Assume that East is X and north is why and assume we start at the origin (0,0).
A. Make a graph with X and Y axis and draw your path on that graph (to scale or at least as close as you can get). Start the first vector at the origin in the second vector at the top of the first vector. Then draw the resultant vector (their sum)B. Break each part of the walk into their ex and Y components and then some them to get the X and Y components of the resultant vector. Make sure to include units in unit vectors.C. What is your displacement from where you originally started?D. If the whole walk took 40 seconds then what was your average velocity?
A plane flying at 78.2 m/s [W32°S] takes 42 seconds to change its velocity to 78.2 m/s
[S32°E].
a) Solve for the change in velocity of the plane algebraically, resolving vectors into their x- and
y-components.
b) What was the average acceleration of the plane over this time interval?
c) Explain why the speed of the plane didn't change and yet the plane underwent
acceleration.
Please label sketches with events as well as GRASS and explanations to show your work. Please
label triangle sides. Remember to have the magnitude rounded to a reasonable number of sig
figs, the unit and the direction (if needed) in your answers.
Chapter 1 Solutions
Tutorials in Introductory Physics
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Ch. 1.1 - D. Review your earlier interpretation of the speed...Ch. 1.1 - E. Suppose you selected two widely separated dots...Ch. 1.2 - The computer program assumes a particular...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - How are the motions in parts C and D similar? How...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion: Move toward the detector...Ch. 1.2 - How do the acceleration graphs for F, G, and H...Ch. 1.2 - Description of Motion: Initially move away from...Ch. 1.2 - Description of Motion:Ch. 1.2 - Description of Motion:Ch. 1.2 - The term decelerate is often used to indicate that...Ch. 1.3 - Draw vectors on your diagram that represent the...Ch. 1.3 - B. In the space at right, compare the velocities...Ch. 1.3 - Consider the change in velocity vector between two...Ch. 1.3 - Use the definition of acceleration to draw a...Ch. 1.3 - Does the acceleration change as the ball rolls up...Ch. 1.3 - Generalize your results thus far to answer the...Ch. 1.3 - Choose two successive points. In the space at...Ch. 1.3 - In the space at right, draw a vector to represent...Ch. 1.3 - Choose a point before the turnaround and another...Ch. 1.3 - Suppose that you had chosen the turnaround as one...Ch. 1.3 - In the space at right, draw a vector that...Ch. 1.4 - Prob. 1aTCh. 1.4 - If you were to choose a different origin for the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose you were to choose a new point on the...Ch. 1.4 - On a separate part of your paper, copy the...Ch. 1.4 - Suppose the object started from rest at point E...Ch. 1.4 - At several points on each of the diagrams below,...Ch. 1.5 - The second diagram at right shows the positions of...Ch. 1.5 - The picture of the spaceships and shuttle from the...Ch. 1.5 - Prob. 1cTCh. 1.5 - Spaceship C moves so as to remain a fixed distance...Ch. 1.5 - Consider the following statement: "The...Ch. 1.5 - Prob. 1fTCh. 1.5 - Describe the motion of the car and the truck...Ch. 1.5 - Complete the diagram at right by drawing the car...Ch. 1.5 - Use your completed diagram to sketch average...Ch. 1.5 - During a small time interval t from just before to...
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