Concept explainers
(a)
The power transmitted by the wave.
(a)
Answer to Problem 16.58AP
The power transmitted by the wave is
Explanation of Solution
Given info: The linear density of string is
The formula to calculate the speed of transverse wave is,
Here,
The formula to calculate maximum velocity is,
Here,
The formula to calculate power transmitted by the wave is,
Here,
Substitute
Substitute
Solve the above expression for
Conclusion:
Therefore, the power transmitted by the wave is
(b)
The proportionality relation between the power and
(b)
Answer to Problem 16.58AP
The power is directly proportional to square of the speed of the particle.
Explanation of Solution
Given info: The linear density of string is
From equation (1), the power is given as,
From the above expression it is clear that the power transmitted by the wave is directly related with the square of the speed of the particle. The more the speed of the particle the more is power transmitted.
Conclusion:
Therefore, the power is directly proportional to square times the speed of the particle.
(c)
The energy contained in contained in
(c)
Answer to Problem 16.58AP
The energy contained in
Explanation of Solution
Given info: The linear density of string is
The formula to calculate energy is,
Here,
Substitute
The formula to calculate speed is,
Substitute
Here,
Substitute
Solve the above expression for
Conclusion:
Therefore, the energy contained in
(d)
The energy in terms of mass.
(d)
Answer to Problem 16.58AP
The mass of string is
Explanation of Solution
Given info: The linear density of string is
The formula to calculate kinetic energy of string is,
Here,
The kinetic energy of string is converted to energy io the section of the string as the wave propagates through string.
Substitute
Solve the above expression for
Conclusion:
Therefore, the mass of string is
(e)
The energy carried by the wave past a point
(e)
Answer to Problem 16.58AP
The energy carried by the wave is
Explanation of Solution
Given info: The linear density of string is
The formula to calculate energy in terms of power is,
Here,
Substitute
Conclusion:
Therefore, the energy carried by the wave is
Want to see more full solutions like this?
Chapter 16 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- Please solvearrow_forwardPlease solvearrow_forwardA piece of silicon semiconductor has length L=0.01cm and cross-section in a square shape with an area of A=5×10−4cm2 . The semiconductor is doped with 1012cm−3 Phosphorus atoms and 1017cm−3 Boron atoms. An external electric field E=1.5×104N/C is applied to the silicon piece along the length direction, through the cross section. What is the total current in the silicon at T=300K? Assume the mobility of silicon is 1400cm2V−1s−1 for electrons and 450cm2V−1s−1 for holes, respectively. Assume the intrinsic carrier concentration in silicon is 1010cm−3 . Give your answer in mA, rounded to 3 significant figures. Just enter the number, nothing else.arrow_forward
- An impurity with a charge of 2e is placed in a three-dimensional metal. Assume that the Friedel sum rule holds for this system, and only the scattering phase shifts from the electrons contribute to this sum (we don't need to consider ion phase shifts). This metal has a spherical Fermi surface with Fermi wave vector kF . The only degeneracy for the electrons at the Fermi surface is spin (two-fold) and angular momentum ( 2l+1 for each angular momentum l ). Ignore scattering for l>2 and assume that the scattering doesn't depend on the spin degree of freedom. Denote the scattering phase shift at the Fermi wave vector in the l -th angular momentum channel as δl(kF) . If δ0(kF)=11π31 , and δ1(kF)=π29 , what is δ2(kF)? Round your answer to three significant figures. Just enter the number, nothing else.arrow_forwardA pilot with a mass of 75 kg is flying an airplane at a true airspeed of 55m/s in air that is still relative to the ground. The pilot enters a coordinated turn of constant bank angle and constant altitude, and the pilot experiences an effective weight of 1471.5N normal to the wings of the plane. What is the rate of turn (in degrees per second) for the aircraft? Round your answer to three significant figures. Just enter the number, nothing else.arrow_forwardImagine you are out for a stroll on a sunny day when you encounter a lake. Unpolarized light from the sun is reflected off the lake into your eyes. However, you notice when you put on your vertically polarized sunglasses, the light reflected off the lake no longer reaches your eyes. What is the angle between the unpolarized light and the surface of the water, in degrees, measured from the horizontal? You may assume the index of refraction of air is nair=1 and the index of refraction of water is nwater=1.33 . Round your answer to three significant figures. Just enter the number, nothing else.arrow_forward
- Red, yellow, green, and blue light with wavelengths of λred=700 nm , λyellow=580 nm , λgreen=520 nm , and λblue=475 nm are directed at a slit that is 20 μm wide at normal incidence. The light hits a screen 1 m behind the slit. Which color of light will have an interference minimum closest to a point 10 cm away from its central maxima? You may assume the small angle approximation sinθ≈tanθ≈θ for angles smaller than 10∘ . Just enter the wavelength of that color in nm, nothing else.arrow_forwardIn the circuit shown, the switch is initially open and the capacitor isuncharged. What will be the current through R1 the instant after the switch isclosed? Take V=10 V, R1 = 20 W, R2 = 20 W, R3 = 10 W and C = 2 mF.arrow_forwardIn the circuit shown take: V1 = 20V, V2 = 40V, R1 = 5W, R2 = 2W and R3 =10W. If i1 = 2A, what is i3 if the assumed direction of the current is as shown.arrow_forward
- Consider the circuit shown in the figure below. (Let R = 12.0 (2.) 25.0 V 10.0 www 10.0 Ω b www 5.00 Ω w R 5.00 Ω i (a) Find the current in the 12.0-0 resistor. 1.95 × This is the total current through the battery. Does all of this go through R? A (b) Find the potential difference between points a and b. 1.72 × How does the potential difference between points a and b relate to the current through resistor R? Varrow_forward3.90 ... CP A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 km above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed of 850 km/h, the rocket is dropped. After the drop, the air- liner maintains the same altitude and speed and continues to fly in a straight line. The rocket falls for a brief time, after which its rocket motor turns on. Once its rocket motor is on, the combined effects of thrust and gravity give the rocket a constant acceleration of magnitude 3.00g directed at an angle of 30.0° above the hori- zontal. For reasons of safety, the rocket should be at least 1.00 km in front of the airliner when it climbs through the airliner's alti- tude. Your job is to determine the minimum time that the rocket must fall before its engine starts. You can ignore air resistance. Your answer should include (i) a diagram showing the flight paths of both the rocket and the airliner, labeled at several…arrow_forward1. In an industrial fabrication process, a fluid, with density p = 800 kg/m and specific heat capacity c = 5000 J/kg-C°, emerges from a tank at a temperature, T, = 400 °C. The fluid then enters a metal pipe with inner radius a = 2.0 cm and outer radius b = 3.0 cm and thermal conductivity k = 180 W/m•C°. Outside the pipe the temperature is fixed at Tout = 15 °C. If the fluid flows at speed v = 8.0 m/s and the length of the pipe is L = 25 m, what is the temperature of the fluid at the end of the pipe? (Answer: 83 °C) please I need to show All work problems step by steparrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning