Link to lab simulation: https://phet.colorado.edu/en/simulation/masses-and-springs

Please help answer the data analysis section, plotting a graph/determining slope and questions 1-3 using the website provided above.

Directions are provided in the image upload (procedure 1-7)

Simple Harmonic Motion Lab by Angel Appiadu-Manu https:ffphctcolorado.cdufenfsimulationfmasscsandsprings Lab Goals: ' Understand the concepts of simple harmonic motion and spring constant. 0 Obtain time per oscillation from the experiment and determine the spring constant. Theory: When an object is attached to a spring, it is able to oscillate or vibrate back and forth. When an object oscillates back and forth over the same path, each oscillation takes the same about of time; this is what makes a motion periodic. A full oscillation is measured by looking at when a spring returns to the position it started at. During an oscillation, a spring will hit a length call equilibrium position. At this length, there is no force on the mass. =-kx In the above equation, It represents the spring constant. The spring constant can be thought of as the stiffness of the spring. Therefore, the higher the spring constant the more force will need to be applied to stretch the spring. This stifiess of the spring (spring constant) along with the mass of the object attached to the spring are what determines the period of a simple harmonic oscillator. A period is represented by the variable T and described as the following equation: T=2nJ In this experiment, the period is found by determining the time it takes for one oscillation to take place. In this lab, most of the components of the period formula found in the experiment. Therefore, this formula can be rearranged to solve for the k (spring constant). The rearranged formula would be: 4n"2 (m) k = T Procedure: 1. Launch the Phet simulation and select the lab tab. 2. Begin by selecting a mass ofSO grams and attach it to the spring 3. Click the pause button located at the bottom right of the screen then select and drag the stopwatch onto the screen. Drag the mass attached to the spring down to a height of 0. Then select play and watch for 3-5 oscillations. Record the time obtained for x number of oscillations in the chart below. PM"? 7. Repeat steps 2-6 with masses 100, 150,200, and 250. Make sure the time recorded have the same number of oscillations across all masses. a. For example, observe 3 oscillations for each mass and record the time it took to nish the 3 oscillations under \"t\" in the chart below. Data Analysis: w\"- oscillations _ s E- - Plot a graph for '."'2 vs 411'2 (m). 0 Determine the slope of the graph. Questions: 1. What is the relationship between the slope of the graph and the spring constant? 2. How does mass affect the time period? 3. List possible sources in experiment for error