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

In this lab you will learn about waves using an online simulation. You will explore the relationship between wave speed and tension for a travelling wave, and you will estimate linear mass density of a string. Part A: Waves on a String 1. Navigate to https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html. Play with the simulation a bit to get a feel of the controls. 2. Set the right end of the string to "fixed" and the damping to "none". Give the wrench a shake and observe the speed of the pulse as it travels down the string. Now give the wrench a "softer" shake and make the same observation. What effect does the "strength" of the shake have on the speed of the pulse? 3. Set the right end of the string to "loose". What difference does this make on the wave pulse when it reaches this end? 4. Set the right end of the string to "no end". In the upper right-hand corner, set the source mode to "Oscillation". The initial amplitude and frequency settings should be 0.75cm and 1.50Hz, respectively. 5. Use the ruler to measure the wavelength of the wave produced. It will be useful to pause the simulation to do this. Using this wavelength and the known frequency, calculate the wave speed. 6. Use the stopwatch and the ruler to calculate the speed of one crest as it travels down the string. It will be useful to measure this in slow motion. How does this compare to the answer from part 5? Part B: Calculating the linear mass density 1. The purpose of this experiment will be to vary the string tension in order to find the linear mass density. We need to make one assumption for this to work, which involves the tension in the string. Because we are not given numbers for the tension, only a slider with three positions, we will need to guess the tension that corresponds to each position. If this were a real, in-person lab, we would measure the tension with a force sensor. For this simulation, lets assume: High tension = 4 N Medium tension = 2 N Low tension = 1 N2. Setting the general wave speed equation equal to the speed of a wave on a string, we arrive at the following equation: VE - N We need to linearize this equation to find the linear mass density, which means we need to rearrange the equation so that it is in the form [ ] = /[ ]. Note that this equation resembles a linear equation y = mx + b, so if we graph the [ ] on the left side vs the [ ] on the right side, we should get a linear equation with slope equal to the linear mass density. 3. Run three experiments in the simulation, one for each tension value. Keep the frequency constant throughout each experiment. Record the wavelength in each experiment, carefully measure this using the ruler. You should be able to measure the wavelength to the closest 0.1 m. 4. Use Microsoft Excel or Google Sheets to make a graph using your linearized equation from step 2. Calculate the slope of this graph using a trendline to find the linear mass density. Report this with the correct units. Note: This step is a bit more challenging than last week. If you're confused about linearizing and graphing, refer to last week's lab for a reminder on this using the example of a mass on a spring and a pendulum. Then come back and see if you can apply the same ideas to this