Two waves are traveling simultaneously down a long Slinky. They can be represented byφ1 (x, t) = 0.0030 sin(6.0x - 300t) and φ2 ( x, t) = 0.0030 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (b) What are the phase and group velocities? (c) What is ∆x between two adjacent zeros of φ? (d) What is ∆k ∆x?

Two waves are traveling simultaneously down a long Slinky. They can be represented byφ1 (x, t) = 0.0030 sin(6.0x - 300t) and φ2 ( x, t) = 0.0030 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (b) What are the phase and group velocities? (c) What is ∆x between two adjacent zeros of φ? (d) What is ∆k ∆x?