MYP Physics · 06 · data analysis
Where a spring stops being proportional
Matter, density, and materials · Original GioPhysics question with a detailed, mark-by-mark answer guide.
- Demand
- demanding
- Marks
- 8
- Topics
- 1
- Answer
- Complete
A student adds loads to a spring and measures extension from its unloaded length.
| Force / N | Extension / cm |
|---|---|
| 0 | 0.0 |
| 1 | 1.5 |
| 2 | 3.0 |
| 3 | 4.5 |
| 4 | 6.0 |
| 5 | 8.5 |
| 6 | 12.0 |
- a
Describe Describe the pattern from 0 N to 4 N and support it with evidence.
2 marks - b
Calculate Calculate the spring constant in N m⁻¹ within the proportional region.
3 marks - c
Evaluate Use the evidence to identify where the simple Hooke's-law model becomes unreliable.
3 marks
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a
Describe Describe the pattern from 0 N to 4 N and support it with evidence.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
States that extension is directly proportional to force over 0–4 N.
- 2
Supports this by noting each 1 N adds 1.5 cm, or that force ÷ extension is constant.
b
Calculate Calculate the spring constant in N m⁻¹ within the proportional region.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
Converts an extension correctly, for example 6.0 cm = 0.060 m.
- 2
Uses k = F ÷ x.
- 3
Obtains k = 4.0 ÷ 0.060 = 66.7 N m⁻¹, or about 67 N m⁻¹.
c
Evaluate Use the evidence to identify where the simple Hooke's-law model becomes unreliable.
Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.
- 1
Identifies that departure begins above 4 N, with the 5 N reading no longer following the earlier ratio.
- 2
Predicts 7.5 cm at 5 N from the proportional pattern but observes 8.5 cm.
- 3
Concludes that calculations using the constant 67 N m⁻¹ should be restricted to the proportional region.
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