The graphs below are for a spring-mass system. The same mass & spring were used for each graph. Fill in the table below the graphs. pos (m) 0.8 0.7 0.6 POSITION vs. TIME GRAPH #1 0.5 5 10 15 20 25 30 35 40 45 50 time uncertainty = 14 st X uncertainty of average period = 2.8 s Graph #1 Graph #2 Graph #3 Amplitude (m) X 18 x 8 14 to (s) X t (s) 48 45 pos (m) 0.8 0.7 0.6 0.5 POSITION vs. TIME GRAPH #2 t10 (s) M^^^^ˇˇˇˇˇˇˇˇ LA 5 10 15 20 25 30 35 40 45 50 uncertainty of average period time uncertainty 5 x Your answer is too high. 46 At for 10 cycles (s) 40 t (s) average T (s) pos (m) 0.8 0.7 0.6 POSITION vs. TIME GRAPH #3 0.5 5 10 15 20 25 30 35 40 45 50 Presumably, the average periods that you calculated are, within uncertainties, the same. This verifies that the period is independent of the amplitude. t (s)
The graphs below are for a spring-mass system. The same mass & spring were used for each graph. Fill in the table below the graphs. pos (m) 0.8 0.7 0.6 POSITION vs. TIME GRAPH #1 0.5 5 10 15 20 25 30 35 40 45 50 time uncertainty = 14 st X uncertainty of average period = 2.8 s Graph #1 Graph #2 Graph #3 Amplitude (m) X 18 x 8 14 to (s) X t (s) 48 45 pos (m) 0.8 0.7 0.6 0.5 POSITION vs. TIME GRAPH #2 t10 (s) M^^^^ˇˇˇˇˇˇˇˇ LA 5 10 15 20 25 30 35 40 45 50 uncertainty of average period time uncertainty 5 x Your answer is too high. 46 At for 10 cycles (s) 40 t (s) average T (s) pos (m) 0.8 0.7 0.6 POSITION vs. TIME GRAPH #3 0.5 5 10 15 20 25 30 35 40 45 50 Presumably, the average periods that you calculated are, within uncertainties, the same. This verifies that the period is independent of the amplitude. t (s)
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Question
The graphs below are for a spring-mass system. The same mass & spring were used for each graph. Fill in the table below the graphs.
uncertainty of average period = time uncertainty/ 5
Transcribed Image Text:The graphs below represent a spring-mass system using the same mass and spring for each. Fill in the table below the graphs.
**Position vs. Time Graph #1**
- **Graph Information:**
- Label: POS vs. TIME GRAPH #1
- Y-axis: pos (m), ranging from 0.5 to 0.8
- X-axis: t (s), ranging from 0 to 50 seconds
- **Line Description:**
- The line begins oscillating with decreasing amplitude, starting around 0.7 m.
**Position vs. Time Graph #2**
- **Graph Information:**
- Label: POS vs. TIME GRAPH #2
- Y-axis: pos (m), ranging from 0.5 to 0.8
- X-axis: t (s), ranging from 0 to 50 seconds
- **Line Description:**
- Similar oscillations with a slightly longer period than Graph #1, starting around 0.7 m.
**Position vs. Time Graph #3**
- **Graph Information:**
- Label: POS vs. TIME GRAPH #3
- Y-axis: pos (m), ranging from 0.5 to 0.8
- X-axis: t (s), ranging from 0 to 50 seconds
- **Line Description:**
- The line shows oscillations with a shorter period, starting below 0.7 m.
**Table Information:**
- **Time Uncertainty Calculation:**
- Formula: uncertainty of average period = time uncertainty / 5
- Given time uncertainty = 14 s (incorrect), uncertainty of average period = 2.8 s (incorrect).
- **Table Data:**
- **Columns:** Amplitude (m), t₀ (s), t₁₀ (s), Δt for 10 cycles (s), average T (s)
- **Graph #1:**
- t₀ = 18 (correct)
- t₁₀ = 48 (incorrect)
- Δt = 40 (incorrect)
- average T = 4 (incorrect)
- **Graph #2:**
- t₀ = 8 (correct)
- t₁₀ = 45 (incorrect, "Your answer is too high.")
- **Graph #3:**
Expert Solution
Step 1
The position versus time graph for a spring mass system can be analysed to fill in the table below. Three different graphs using same mass and spring is shown.
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