Question
Please try to do the missing portions, Do a revision as well. Proceed to PHET's simulation on masses and springs https://phet.colorado.edu/sims/html/masses-and-springs-basics/latest/masses-and-springs-basics_en.html Go to LAB section
Please try to do the missing portions, Do a revision as well.
Proceed to PHET's simulation on masses and springs
https://phet.colorado.edu/sims/html/masses-and-springs-basics/latest/masses-and-springs-basics_en.html
Go to LAB section of the simulation:
Initial S
etup:
1. Set mass to 50g
2. Set spring strength to lowest setting we will call this spring strength 1
3. Turn on
4. Get ruler
5. Put ruler in place 0 at blue line. Do not move ruler again until we do a second spring
6. Place the 50g weight on the spring. Note: we always use the orange known mass here.
7. Hit stop. It will stop at green line.
8. Record mass (in kg) and distance (in m) (blue to green) in Data table
9. Move red line to green line
10. Change the mass to 100g using the slider.
11. Push Stop
12. Record mass, the corresponding weight and distance (blue to green) in the data table
(The red to green merely shows the extra stretch: used for reference only here)
13. Repeat for masses 150, 200 and 250
14. Select a new spring strength of 4 and repeat steps 5 to 13.
15. Select a new spring strength of 10 (the largest) and repeat steps 5 to 13.
Data Table 1:
Trial | Spring Strength 1 | Spring Strength 4 | Spring Strength 10 | ||||||
Mass | Force | Distance | Mass | Force | Distance | Mass | Force | Distance | |
1 | 0 g | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
2 | 50 g | 0.49 | 0.033 | 50g | 0.49 | 0.025 | 50g | 0.49 | 0.019 |
3 | 100 g | 0.98 | 0.056 | 100g | 0.98 | 0.048 | 100g | 0.98 | 0.038 |
4 | 150 g | 1.47 | 0.077 | 150g | 1.47 | 0.07 | 150g | 1.47 | 0.056 |
5 | 200 g | 1.96 | 0.094 | 200g | 1.96 | 0.089 | 200g | 1.96 | 0.07 |
6 | 250 g | 2.45 | 0.11 | 250g | 2.45 | 0.104 | 250g | 2.45 | 0.081 |
7 | 300 g | 2.94 | 0.121 | 300g | 2.94 | 0.735 | 300g | 2.94 | 0.294 |
8 | Unknown Mass Green | 0.4 | Green | 0.2 | Green | 0.011 | |||
9 | Unknown Mass Blue | 0.77 | Blue | 0.4 | Blue | 0.21 | |||
10 | Unknown Mass Pink | 0 | 1.18 | Pink | 0 | 0.61 | Pink | 0 | 0.32 |
Analysis:Plot the Force versus distance graph for each spring on the graphs. You may use the graph paper or Excel spread sheet to plot the graphs. Excel spreadsheet is preferred. Your graphs must be a quality graph.
Step 1: Convert mass from grams to kg by dividing by 1000
Step 2: Calculate force mg, where g=9.81m/s^2
Step 3: Calculate the distance, which is equal to F/k, where k is the spring constant.
Step 4: plot the results in Excel.
Produce a line of best fit for all. Find the slope for your plotted graph. Foe Excel graph, you do not need to find the slopes. However, you MUST include line of equation. Please paste your graph image below.
Graph 1 (Spring Strength 1): |
Slope Calculation:
NOTE:If you have used Excel spreadsheet, you may skip this part as your line of equation already includes the slope value. However, make sure you included the line of equation in your excel graph.
Graph 2 (Spring Strength 4): |
Slope Calculation:
NOTE:If you have used Excel spreadsheet, you may skip this part as your line of equation already includes the slope value. However, make sure you included the line of equation in your excel graph.
Graph 3 (Spring Strength 10): |
Slope Calculation:
NOTE:If you have used Excel spreadsheet, you may skip this part as your line of equation already includes the slope value. However, make sure you included the line of equation in your excel graph
The Unknown Masses:
For each unknown
Determine the unknown masses, using the graphs of each spring that you have created. Indicate the appropriate points on each graph. It would be great to color coordinate if you can.Record all results in the table below.
Spring Strength | K-value (Slope Value) | Mass of green unknown | Mass of blue unknown | Mass of pink unknown |
1 | 7 | 85.7g | 175g | 236g |
4 | 7 | 98.2g | 201g | 279g |
10 | 7 | 126g | 258g | 385g |
Conclusions:
1. The k-value of a spring can be found _ The K value of a spring can be found by using the formulak=F/xto find the spring constant for an ideal spring.
Express Hooke's Law mathematically with the equationF=kx
The negative symbol indicates that the force of the spring constant is in the opposite direction of the force applied to the spring. It does not indicate that the value is negative.
2. What is interpolation? How was it used?
Interpolation is the process of estimating unknown values that fall between known data points.
Interpolation is used for predicting and creating geographical related data points the vertical movement with mass using instruments like scale and graph.
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