Two pulses are moving in opposite directions at 1.0 cm/s on a taut string, as shown in Fig. E15.34. Each square is 1.0 cm. <IMAGE> Sketch the shape of the string at the end of 7.0 s.

A fellow student with a mathematical bent tells you that the wave function of a traveling wave on a thin rope is $y(x,t)=\left(2.30\mathrm{mm)}\cos \right[\left(16.98rad/m\right)x+\left(742rad/s\right)t]$. Being more practical, you measure the rope to have a length of $1.35\text{ m}$ and a mass of $0.00338\mathrm{kg}$. You are then asked to determine the following: (f) tension in the rope; (g) average power transmitted by the wave.

Two pulses are moving in opposite directions at 1.0 cm/s on a taut string, as shown in Fig. E15.34. Each square is 1.0 cm.

<Image>

Sketch the shape of the string at the end of 6.0 s.

At a distance of 7.00 x 10¹² m from a star, the intensity of the radiation from the star is 15.4 W/m². Assuming that the star radiates uniformly in all directions, what is the total power output of the star?

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of the second overtone?

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of the fundamental?

A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s.What are the wavelength and frequency of the fourth harmonic?