Concept explainers
The effect that happens when two pulses overlap to each other.
Answer to Problem 18.1QQ
Explanation of Solution
When two pulses travel in the opposite direction then the pulses cancel each other in terms of displacement of elements of the string from equilibrium, but the string is still moving. A short time later, a string will displaced again and the pulses will have passed each other and forms a straight line.
Thus, the string forms a straight line when two pulses completely overlap on the string.
Conclusion:
If string movement is zero and pulses cancel to each other then energy associated with pulses disappeared, which is contradictory. Thus, option (a) is incorrect.
When two pulses does not travel in the opposite direction on the string then string will not move, which is not the case. Thus, option (b) is incorrect.
The string forms a straight line because pulses continues pass each other Thus, option (c) is correct.
When the two pulses overlap in equilibrium condition and after that string does not move then pulses have vanished and will not reappear, which is contradictory. Thus, option (d) is incorrect.
Want to see more full solutions like this?
Chapter 18 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
- A wave on a string is driven by a string vibrator, which oscillates at a frequency of 100.00 Hz and an amplitude of 1.00 cm. The string vibrator operates at a voltage of 12.00 V and a current of 0.20 A. The power consumed by the string vibrator is P=IV . Assume that the string vibrator is 90% efficient at converting electrical energy into the energy associated with the vibrations of the string. The string is 3.00 m long, and is under a tension of 60.00 N. What is the linear mass density of the string?arrow_forwardA series of pulses, each of amplitude 0.150 m, are sent down a string that is attached to a post at one end. The pulses are reflected at the post and travel back along the string without loss of amplitude. When two waves are present on the same string, the net displacement of a particular element of the string is the sum of the displacements of the individual waves at that point. What is the net displacement of an element at a point on the string where two pulses are crossing (a) if the string is rigidly attached to the post and (b) if the end at which reflection occurs is free to slide up and down?arrow_forwardTwo pulses travel in opposite directions along a string. One pulse is traveling to the right. The other pulse is inverted, with half the width and twice the amplitude of the first pulse, moving to the left as shown in Figure P18.2. Sketch the shape of the string at the moment in time when the centers of each pulse are at the same location. FIGURE P18.2arrow_forward
- A string of a length of 2.00 m with a linear mass density of =0.006 kg/m is attached to the end of a 2.00-m-long string with a linear mass density of =0.012 kg/m. The free end of the higher-density string is fixed to the wall, and a student holds the free end of the low-density string, keeping the tension constant in both strings. The student sends a pulse down the string. Describe what happens at the interface between the two strings.arrow_forwardA string has a mass of 150 g and a length of 3.4 m. One end of the string is fixed to a lab stand and the other is attached to a spring with a spring constant of ks=100 N/m. The free end of the spring is attached to another lab pole. The tension in the string is maintained by the spring. The lab poles are separated by a distance that stretches the spring 2.00 cm. The string is plucked and a pulse travels along the string. What is the propagation speed of the pulse?arrow_forwardTwo sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forward
- just part (d) pleasearrow_forwardA block of mass m = 3.40 kg is suspended from a wire that passes over a pulley and is attached to a wall, as shown in the figure. Traveling waves are observed to have a speed of 30.0 m/s on the wire. m (a) What is the mass per unit length of the wire? kg/m (b) What would the speed of the waves on the wire be if the suspended mass were decreased to 1.70 kg? m/sarrow_forwardAsaparrow_forward
- A string with a mass of 0.02 kg and a length of 2 meters is stretched between two fixed points. The tension in the string is 100 N. Calculate the speed of a transverse wave traveling through the string. (Note: Assume the string is massless, and there is no damping or energy loss during wave propagation.)arrow_forwardA sinusoidal wave on a string travels to the right. The wave has the following characteristics: wavelength = 2.05 m, amplitude = 0.100 m, and speed = 1.25 m/s. Assume that at t = 0, the left end of the string is at the origin and its transverse velocity is negative. (d) Find the wave function for this wave in SI units. (Use the following as necessary: x and t. Assume x and y are in meters and t is in seconds. Do not include units in your answer.) (e) Determine the equation of motion in SI units for the left end of the string. (Use the following as necessary: t. Assume y is in meters and t is in seconds. Do not include units in your answer.) (f) Determine the equation of motion in SI units for the point on the string at x = 1.40 m to the right of the left end. (Use the following as necessary: t. Assume y is in meters and t is in seconds. Do not include units in your answer.)arrow_forwardTwo children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 3.5 m long, its mass is 0.64 kg, and the force exerted on it by the children is 35 N. (a) What is the linear mass density of the rope (in kg/m)? kg/m (b) What is the speed of the waves on the rope (in m/s)? m/sarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University