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Can you solve this and explain how you did it?? Simple Harmonic Motion Using Phet Interactive Simulation Name: Mass on a spring. To be familiar

Can you solve this and explain how you did it??

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Simple Harmonic Motion Using Phet Interactive Simulation Name: Mass on a spring. To be familiar with simple harmonic motion, periodic time of an oscillation, angular velocity, the parameters that affect the oscillatory motion using Phet simulation, open the following links and play with them. Simple Harmonic Motion (Mass on a Spring) Obijectives: In this experiment, the student can observe and study the periodic motion in a plane and investigate the relation between the periodic time of & mass on a spring and the hanged mass. The student can determine the spring constant of the spring using the experimental data of this experiment. Theory: A common example of an object oscillating back and forth under the effect of a restoring force that is directly proportional to the displacement from equilibrium (Hooke's Law) s the case of a mass on the end of an ideal spring. Hooke's Law Is the name that was given to this relationship between force and displacement of a mass undergoes an oscillatory motion. F=-kX 0] Here, F s the restoring force, x s the displacement from equilibrium, and k is the spring constant. Remember that the minus sign indicates the restoring force is in the direction opposite o the displacement Mass on a Spring 'The motion of a mass on a spring can be described as Simple Harmonic Motion (SHM) as shown in Fig 2, where the net force can be described by Hooke's law. We can now T determine how to calculate the periodic time and frequency of an oscillating mass (m). m i Then the periodic time of oscillation is given by T=2r/c then, oo Laiw"'g B ring= kx Fig.2 @ Where T: is the perio time, m: is the mass hanged on the spring and_ k: is the spring constant. To satisfy the objectives of this experiment, follow the link below and do the following steps. s e i [ &8 L Timemeer 1- https://phet.colorado.edu/sims/html/masses-and-springs-basics/latest/masses-and-springs- basics_en.html 2- Click on lab screen and use the mass controller to control the mass hanged to the spring (), set m =150 g. Record the mass in table 1. 3- Control the spring constant using the spring constant controller and set it at the large value. 4- Click on time meter and drag it near the spring. Put Y on period trace selection to trace the line of full cycle. 5~ Compress the spring to the maximum compression, Set the simulation speed at slow mode. 6- Press on start Potton, watch the trace of full cyele, then press the arrowhead on timer meter to start measuring the periodic time (T). Record the periodic time in table 2. 7- Repeat the previous steps for different masses of (m) as shown in the table 2. Record your data in the table 2. 1. Calculate the square of the periodic time (TZ). 2. Plotagraphof T2 versusm, T? asthe Y- axis and m as the X- axis 3. Use the equation of the graph to determine its slope, use the slope of the line to calculate the spring constant by: [m @ [T6) [T26) | 100 I 140 [ 180 [ 220 [ 260 300 Explain what will happen to the periodic time? if you change the spring constant to the low value. Explain theoretically how can you determine the spring constant using hooks law

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