A-LevelPhysicsDeformation of solids9702/23 · May/June 2017 · Q46 Marks
A spring is supported so that it hangs vertically, as shown in [Figure 4.1]. Different masses are attached to the lower end of the spring. The extension x of the spring is measured for each mass M. The variation with x of M is shown in [Figure 4.2].
- (a)State and explain whether the spring obeys Hooke's law.[1]
- (b)State the form of energy stored in the spring due to the addition of the masses.[1]
- (c)Describe how to determine whether the extension of the spring is elastic.[1]
- (d)Calculate the work done on the spring as it is extended from x = 40.0 mm to x = 160mm.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- 4(a) the straight line does not go through the origin/the force is not proportional to extension (so does not obey Hooke's law)
- 4(b) elastic potential energy
- 4(c) remove the force/masses and the spring returns to its original length if elastic
- 4(d) work done is represented by/linked to area under the line (xg)
- 4(d) work = ½ (145 + 70) × 10⁻³ × 9.81 × 120 × 10⁻³
- 4(d) = 0.13 (0.127) J
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