PHYSICS LABORATORY LAB REPORT – 60% OF THE LAB GRADE Complete in word and save as only one pdf document, send by assignment in blackboard. OBJECTIVES: (5 points). 1) Determine the Period dependence with the mass in the oscillations in one (massspring) system. 2) Determine the elastic constant of the spring. 3) Investigate how changing the spring amplitude changes the period of the motion. 4) Relate parameters in mathematical modeling with physical magnitudes. MATERIALS: (Complete by watching the video). (5 points). • Different Mass • Spring • Hook • Timer • Fixed rigid object EXPERIMENTAL PROCEDURE: (Complete by watching the video). (5 points). Obtain different masses and attached them to a spring on a fixed rigid object. Change the mass and measure the period five to six times. Write the equation of the position vs time in Simple Harmonic Motion and the name of each term. (5 points). EXPERIMENTAL RESULTS AND ANALYSIS PART 1. Period-mass relationship. Watch the video and complete the data table . (10 points). Mass (kg) m 0.2 0.3 0.4 0.5 0.6 1.1. Oscillations n 10 10 10 10 10 Time (s) t 8.70 10.61 12.22 13.45 14.85 Period (s) T=t/n 0.87 1.061 1.222 1.345 1.485 Plot a graph of T vs m. Fit the curve. Attach the graph. (10 points). 1.2. What dependence you found between the period and mass?. (5 points). The Square root was the dependence between the period and mass. 1.3. What parameter in the fitted equation is related with the spring elastic constant?. Determine the value of the elastic constant. (10 points). The value of Parameter A is related to which is the spring elastic constant. The value of the elastic constant is 21.2 PART 2. Period-Amplitude relationship. Watch the video and complete the data table (10 points) Run Mass (g) 1 2 3 0.3 0.3 0.3 A (cmᵒ) 2.5 5 8.9 T (s) f=1/T (Hz) 1.05 1.10 1.05 2.1. How does the amplitude affect the period?. (5 The period is almost constant. The amplitude does not affect the period enough. 3.2. What physical meaning) each parameter in the equation? (10 points) (Physical magnitudes name and parameters): A: amplitude in the motion, 9.5cm near to the real value B: frequency of motion, frequency is inverse of the period C: the initial phase D: error in the measurement of the position CONCLUSIONS: Critical analysis about the fulfillment of each objective. (10 points) Four separate paragraphs, comment the errors 1) In our experiment the period depends on the mass, the mass of the body that this oscillates in the mass spring system. We changed the mass and measured the period which the results showed the dependance between the period and the mass. 2) From the parameters of the fit we found the elastic constant to be 21.2. 3) We saw that the amplitude does not affect the period. The period was found to be almost constant meaning the amplitude did not have a big enough affect to change the period. 4) Parameter A was found to be the amplitude in the motion, 9.5cm near to the real value Parameter B is frequency of motion, frequency is inverse of the period Parameter C is the initial phase and Parameter D is error in the measurement of the position Errors: The errors included using the timer when checking to see how many oscillations occurred it was not exact time. Another error is that the measurement of the position must be zero. An error found was also the K for the elastic constant is not exact.