Exoeriment 6

General Physics I Laboratory (PHY221L) Determination of the Spring Constant Name: Aliyah Zito Date: 10/ 07 / 23 ______________________________________________________________________________ Introduction State what you show or demonstrate in this laboratory experiment. Include the background/theory and any useful equations used in the lab. (5 points) In this laboratory we are using different springs with different flexibility’s, we will be finding their spring constant for each spring. Materials: Red, blue and green springs, meter stick, masses and mass hanger. Method 1. What is the precision of your measurement tools? Write them below (2 points) 2. Meter Stick : 1mm 2. Hang the red spring on the apparatus. 3. Measure the location of the spring bottom using the meter stick and record it. This is the initial position x 0 . x 0 = 0.00 ( m ) 4. Place the mass holder on the spring, measure the displacement using the meter stick. Remember that the displacement is defined as ∆ x = x − x 0 , where x is the position of the spring’s bottom after you add the mass, and x 0 is the initial position of the spring bottom without adding any mass. Record your results in table 1. 5. Add 50g mass for the hanger and measure the displacement. Complete the table 1 for all the masses. 6. Repeat the above steps for the other two springs (blue and green). For the blue and green springs, add 100g mass for the hanger (total mass will be 200g) and measure the displacement. 7. Measure displacements for all the masses with 100g increments as given in tables 2 & 3. Record your results in table 2 and 3. Figure 1. Experiment setup.

Results (35 points) Table 1: Red spring Measurements Total Mass (g) ∆ x ( m ) F ( N ) 1 100 0.074 0.98 2 150 0.119 1.47 3 200 0.158 1.96 4 250 0.209 2.45 5 300 0.259 2.94 Table 2: Blue spring Measurements Total Mass (g) ∆ x ( m ) F ( N ) 1 200 0.054 1.96 2 300 0.106 2.94 3 400 0.149 3.92 4 500 0.201 4.9 5 600 0.255 5.88 Table 3: Green spring Measurements Total Mass (g) ∆ x ( m ) F ( N ) 1 200 0.022 1.96 2 300 0.039 2.94 3 400 0.066 3.92 4 500 0.088 4.9 5 600 0.113 5.88 Data Analysis (53 points) 2

L(18.8-20)/20l=0.006*100=6% L(57.6-40)/40l=0.44*100=44% 3. Using the equation from your trendline for blue spring, how much force must be applied to the spring to cause a displacement of 100 cm? (10 points) Y=11.783x 100cm=1m F=11.783(1) 11.783 N 4. Using the equation from your trendline for red spring, how much would the spring stretch if 10 N of force was applied. (10 points) Y=24.587x 10=24.587x 0.407 m Conclusion (5 points) State the main conclusion(s) along with a discussion of your results. In conclusion our data for the red and green springs were close to their actual constants with only being about 3 percent off for each. The blue spring was way off being at 6% when the actual constant was 20. 4

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