1. A transverse wave on a rope is given by y(x, t) = (0.750 cm) cos n[(0.4cm-1)x + (250s-1)t] (a) Find the amplitude, frequency, wavelength, and speed of propagation. points) (b) Sketch the shape of the rope at these values of t: 0.0005 s, 0.0010 s. (c) Is the wave travelling in the +x- or –x- direction? (d) The mass per unit length of the rope is 0.05 kg/m. Find the tension. Find the average power of this wave.

1. A transverse wave on a rope is given by y(x, t) = (0.750 cm) cos n[(0.4cm-1)x + (250s-1)t] (a) Find the amplitude, frequency, wavelength, and speed of propagation. points) (b) Sketch the shape of the rope at these values of t: 0.0005 s, 0.0010 s. (c) Is the wave travelling in the +x- or –x- direction? (d) The mass per unit length of the rope is 0.05 kg/m. Find the tension. Find the average power of this wave.