https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html

In this question you will explore standing waves on a string using the same online simulation tool as in the previous homework set. Set up the parameters of the simulation as follows: 1) Set the mode (upper left corner) to Oscillate 2) Set the end conditions (upper right corner) to Fixed End. 3) Set the Damping slider to 0. 4) Set the Tension slider to high (as far as it will go) 5) Set the Amplitude slider to 0.03 cm 6) Hit Pause to stop the simulation for now. Also hit restart. 7) Turn on the Rulers (click the check-box in the bottom right) Recall that the velocity of the wave on this string under high tension is v = 6.2cm/s (we calculated this in the last homework), Part a (1 points Because we have set the amplitude of the oscillating wave to be so small (amplitude should be set to 0.030m), we can approximate the left end as a node. Therefore we will treat this as a string that is xed on both ends Using the Rulers you can see on the screen, what do you expect to be the wavelength (in cm) of the fundamental mode on this string? (Don't run the simulation yet) Select the correct answer 0 300m 0 5.0cm O 7.5cm 3.75cm9. 0 15cm Part b (1 points) Calculate the fundamental resonant frequency of this wave. (Recall from the last homework that the wave velocity in this simulation is 6.2cm/s). Test your answer by setting the frequency slider to whatever value you calculated, and playing the simulation. If you calculated correctly, then after some time you will see an n : 1 standing wave form with an amplitude much higherthan the amplitude of the driving force. It might take a little while to really get the wave going. Please enter a numerical answer below Accepted formats are numbers or "e" based scientific notation eg. 0.23, 2, le6, 5.23e8 Enter answer here 3 Hz Part c (1 points) Calculate the frequency of the n = 2 harmonic, assuming the string is fixed on both ends. Repeat the simulation above with this new frequency and see if you can get a standing wave with two antinodes to form. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here HzPart d (1 Calculate what would be the next harmonic above the fundamental frequency if this string had one end free. Test your calculation by setting the boundary conditions to Loose End (upper right corner). Make sure to hit restart first. You should get a standing wave with amplitude much greater than the amplitude of the driving force. Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here HzO Manual Restart Fixed End Oscillate Loose End Pulse No End -T-T 10 cm 2 3 4 5 6 7 8 9 10 00:00.00 Slow Motion Normal II D E Amplitude Frequency 0.62 Hz Damping Tension Rulers 0.03 cm None Lots Low High Timer Reference Line C tivate Windows Go to Settings to activate windows. Wave on a String PNET =