Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 9.2, Problem 2bT
(1)
To determine
To compare the time taken by single incident and transmitted pulse to cross a particular point.
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The diagram (picture attached) represents two pulses traveling on a spring. Pulse A moves to the right. Pulse B moves to the left. Each pulse moves with a speed of one square per second.
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Chapter 9 Solutions
Tutorials in Introductory Physics
Ch. 9.1 - A piece of yarn has been attached to the spring....Ch. 9.1 - During the demonstration, did any of the following...Ch. 9.1 - During the demonstration, each of the following...Ch. 9.1 - Prob. 2aTCh. 9.1 - Prob. 2bTCh. 9.1 - Prob. 3aTCh. 9.1 - Prob. 3bTCh. 9.2 - Describe what happens after the pulse reaches the...Ch. 9.2 - Compare the speed of a pulse in one spring to the...Ch. 9.2 - In answering the questions below, assume that each...
Ch. 9.2 - Prob. 2aTCh. 9.2 - Prob. 2bTCh. 9.2 - Prob. 3aTCh. 9.2 - Prob. 4aTCh. 9.2 - Which of the following quantities are different on...Ch. 9.2 - Prob. 4cTCh. 9.3 - Prob. 1aTCh. 9.3 - Prob. 1bTCh. 9.3 - Prob. 1cTCh. 9.3 - Prob. 1dTCh. 9.3 - Prob. 1eTCh. 9.3 - Prob. 2aTCh. 9.3 - Prob. 2bTCh. 9.3 - Prob. 2cTCh. 9.3 - Prob. 2dTCh. 9.3 - Each of the diagrams at right shows a ray incident...Ch. 9.3 - Does the ray representing a wave always “bend”...Ch. 9.4 - Shown below are mathematical and pictorial...Ch. 9.4 - Three light waves are represented at right. The...Ch. 9.4 - Write an expression for the force exerted on a...Ch. 9.4 - Imagine that the electromagnetic wave in section I...Ch. 9.4 - Prob. 3aTCh. 9.4 - Suppose that the electric field in a light wave...
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- Find the time and the phase displacement between I = 5 sin(120(pi) t+ 0.52) and I= 5 sin(120(pi)t),show your calculations.arrow_forwardI. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 5. A long spring wiun spring constant k = 8 g/s² has a mass attached that stretches the spring 245 cm. the damping coefficient is 8 = 8 g/s. At time t = 0, the mass is at equilibrium position and has a velocity of 3 cm/s downward. SS %3Darrow_forwardConsider the standing wave pattern shown below. A wave generated at the left end of the medium undergoes reflection at the fixed end on the right side of the medium. The number of antinodes in the diagram is _____.arrow_forward
- I. For the following problems, set up the differential equation that describes the motion under the assumption of this section. Solve the differential equation. State whether the motion of the spring system is harmonic, damped oscillation, critically damped oscillation, or overdamped. If the motion is overdamped oscillation, rewrite in the amplitude-phase form. 4. A spring with spring constant k = 12 slug/s has a mass attached that stretches the spring 2-2/3 ft. The damping coefficient is 7 slug/s. The mass is pushed i ft above the rest position and then released with a velocity of 1 ft/s downward.arrow_forwardTwo pendulums have equal length L, but different masses mị and m2. The pen- dulums are coupled by a spring with spring constant K. The pendulums can only move in the plane of the figure. Find the frequencies of small oscillations around the equilibrium point. Use arrows on a picture like the one below to show the ap- proximate displacements corresponding to these modes. You do not need to find algebraic expressions for the displacements. Escape clause: if this problem is a little too hard, you will get partial credit for solving the special case mı = m2. L |L ml m2 karrow_forwardThe data points you put on the plot (F vs. x) should form a straight line. The slope of this line is the spring’s force constant (k)! Draw the best-fit line on your plot, and calculate its slope to get the force constant, in units of Newtons per meter (N/m). Remember that the slope of a line is equal to the rise over the run. Show your calculation, and round to 3 sig figs.arrow_forward
- A spring with a spring constant of 1.7 N/cm is attached to a 3.2 kg mass. If you were to pull and release the mass, what would be the frequency of the system, in Hz? Be clear and show all your work. (handwritten)arrow_forwardTwo different ropes with different mass densities are attached to each other. A pulse is introduced into one end of the rop and approaches the boundary as shown at the right. At the boundary, a portion of the energy is transmitted into the new medium and a portion is reflected. Which one of the diagrams below depicts the possible location and orientation of the pulse shortly after the incident pulse reaches the boundary? Select one: OA. OB.arrow_forwardIntroduction to Two-Source Interference Learning Goal: To gain an understanding of constructive and destructive interference. Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y₁ (z, t) and y2 (x, t) represent the displacement of each wave at position at time t. If these waves were to be in the same location (2) at the same time, they would interfere with one another. This would result in a single wave with a displacement y (z, t) given by y(z, t)= y(x, t) + y2(x, t). This equation states that at time t the displacement y (x, t) of the resulting wave at position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at time t. When the maximum displacement of the resulting wave is less than the amplitude of the original waves, that is, when ymax A. the waves are said to interfere constructively because the…arrow_forward
- Two different ropes with different mass densities are attached to each other. A pulse is introduced into one end of the rop and approaches the boundary as shown at the right. At the boundary, a portion of the energy is transmitted into the new medium and a portion is reflected. Which one of the diagrams depicts the possible location and orientation of the pulse shortly after the incident pulse reaches the boundary?arrow_forwardDraw and show four binary levels projected on to both I and Q phase in a polar form, with equal amplitudes for all four levels. And explain the graph and terminology used.arrow_forwardLearning Goal: To gain an understanding of constructive and destructive interference. Consider two sinusoidal waves (1 and 2) of identical wavelength A, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let yi (z, t) and 2 (z, t) represent the displacement of each wave at position at time t. If these waves were to be in the same location (2) at the same time, they would interfere with one another. This would result in a single wave with a displacement y (z, t) given by y(z, t) = y₁ (z, t) + y₂(x, t). This equation states that at time t the displacement y (z, t) of the resulting wave at position z is the algebraic sum of the displacements of the waves 1 and 2 at position z at time t. When the maximum displacement of the resulting wave is less than the amplitude of the original waves, that is, when ymax A, the waves are said to interfere constructively because the resulting wave is larger than either…arrow_forward
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