[list=1][*]A wave is given by [math]y(x,t) = 2\sin(5x-3t)[/math]What is the speed of the wave? [/*][*]What is the amplitude?[/*][*]What is the wave number k?[/*][*]What is the wavelength?[/*][*]What is the frequency f?[/*][*]What is the direction of travel?[/*][*]How could you alter the direction of travel?[/*][*]What is the amplitude of the disturbance at x=3.0m, t=1.0s?[/*][*]If this function reprsents the displacement of a string perpendicular to its length (as on a guitar string), at what transverse velocity does the string move at the position and time given above?[/*][*]If this does not match the wave speed, why not?[/*][*]Ocean waves strike a shoreline once every 5 seconds, and the wave speed is 2m/s.[/*][*]What is the period of the waves?[/*][*]What is the wavelength?[/*][*]What is k?[/*][*]What is [math]\omega[/math]?[/*][*]If a light wave's amplitude is tripled, what happens to the brightness or intensity of the light?[/*][*]If a seismic wave is to double in energy, how much larger amplitude must it have?[/*][*]How much momentum will a light wave that delivers [math]1\mu J[/math] per second to a surface deliver per second?[/*][*]Given two waves of equal amplitude and wavelength, what relative phase is required to make the sum of the waves of equal amplitude to the two constituent waves?[/*][*]Given two ocean waves - one of amplitude 1.0m and another 2.0m - of equal wavelength, what relative phase is required to make the resulting waves 1.5m in amplitude. What phase will the resulting wave have relative to the 1.0m wave?[/*][/list][*][/*]

1. 0.6m/s[br]2. 2 (presumably meters, but mustn't be)[br]3. 5rad/m[br]4. [math]2\pi/5 m[/math][br]5. [math]\frac{3}{2\pi} Hz[/math][br]6. +x direction[br]7. change either sign of k or [math]\omega[/math][br]8. -1.07 same issue with units as #2[br]9. [math]-6\cos(5x-3t)=-5.1m/s[/math][br]10. This is transverse motion of the string rather than the longitudinal wave on the string.[br]11. n/a[br]12. 5s[br]13. 10m[br]14. [math]\pi/5 \frac{rad}{m}[/math][br]15. [math]2\pi/5 \frac{rad}{s}[/math][br]16. 9 times brighter[br]17. [math]\sqrt{2}[/math] times[br]18. [math]3.33\times10^-15N[/math][br]19. [math]\pi/3[/math][br]20. tbd