College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- the wave functions for two harmonic waves are given by : y1(x,t)=(0.1m)sin(1.0x-3.0t), y2(x,t)=(0.1m)sin(1.0x-3.0t+π/2) where x is in metres and t is in seconds. write the wave function of the resultant wave when the two waves interfere. what is the amplitude of the resultant wavearrow_forwardTransverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. These waves travel in the x direction, and at t=0 the x=0 end of the string is at y=0 and moving downward. Find the frequency and the period of these waves.arrow_forwardTwo children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 3.7 m long, its mass is 0.42 kg, and the force exerted on it by the children is 71 N. What is the speed of the waves on the rope (in m/s)?arrow_forward
- A block of mass 2.5 kg sits on a frictionless 30° incline and is attached with a string to a wall so it does not slide down. The string has a linear density of 1.3 g/m. What is the speed of a wave traveling in the string?arrow_forwardThe tension in a stretched string is 150 N and the speed of the waves in the string is 60 m/s. Determine the linear density of the string. 2.0 x 10-2 kg/m 4.2 x 10-2 kg/m 5.0 x 10-2 kg/m 6.9 x 10-3 kg/marrow_forwardA wave, propagating along the x direction according to Equation (x, t) = A sin(kx - vt + f) , has a maximum displacement of 4.0 cm at x = 0 and t =0. The wave speed is 5.0 cm/s, and the wavelength is 7.0 cm. (a) What is the frequency? (b) What is the wave’s amplitude at x =10 cm and t =13 s?arrow_forward
- A transverse, periodic wave travels horizontally down a slinky at a speed of 6.91 m/s. If the period of oscillation is 8.72s, what is the wavelength of this wave (in meters)arrow_forwardA transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.5x + 17t) The mass density of the rope is µ = 0.113 kg/m. x and y are measured in meters andt in seconds. 1) What is the amplitude of the wave? 0.14 m Submit +) 2) What is the frequency of oscillation of the wave? 2.706 Hz Submit 3) What is the wavelength of the wave? 2.51 m Submit 4) What is the speed of the wave? 6.79206 m/s Submit 5) What is the tension in the rope? 5.213 N Submit +) 6) At x = 3.8 m and t = 0.43 s, what is the velocity of the rope? (watch your sign) m/s Submit 7) At x = 3.8 m and t = 0.43 s, what is the acceleration of the rope? (watch your sign) m/s2 Submit 8) What is the average speed of the rope during one complete oscillation of the rope? m/s Submitarrow_forwardTransverse waves on a string have a wave speed of 8.00 m / s, an amplitude of 0.070 m and a wavelength of 0.320 m.These waves travel in the +x direction, and at t = 0 the end x = 0 of the chord is at y = 0 and is moving downward. (a) Find the frequency, period and wave number k= 2/λ of these waves. (b) Write the equation for y (x, t) describing these waves. (c) Find the transverse displacement of a point on the chord at x = 0: 360m at time t = 0: 150s. (Show the formulas with explanations and steps please)arrow_forward
- Transverse waves on a string have a velocity of 15 m/s, amplitude of 0.10m and a wavelength of 25 cm. The waves travel in the +x direction and at t=0 the x=0 end of the string is at a maximum upward displacement. Find the Frequency of the wave (Hz)arrow_forwardA wave is modeled with the function y(x,t) = (0.25m)cos(0.30m x-0.90s-1t+r/3). Find (0.5+ (a) the amplitude, (b) the wave speed, (c) the direction of the wavearrow_forwardA boat produces water waves as it sails along a river. You notice that 10 waves hit the bank in 4.8 seconds. If distance between successive wave crests is 3.8 centimeters, how far would these waves travel in 35 seconds. Express your answer in centimeters to at least 3 significant figures.arrow_forward
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