Fig. 1.1 shows a model of the human arm. The rubber band represents the muscle that moves part of the arm XY up. A mass is suspended from XY, as shown in Fig. 1.2. The weight of section XY is negligible and the model is at rest.[Figure 1.1][Figure 1.2 (not to scale)]
- (a)(i)State two ways in which the dimensions of the rubber band change as the mass is added to section XY.[2]
- (a)(ii)State the form of energy stored in the stretched rubber band.[1]
- (b)(i)State the principle of moments.[2]
- (b)(ii)Explain why the force that the rubber band exerts on section XY is larger than the weight of the mass.[1]
- (b)(iii)The mass suspended from section XY in Fig. 1.2 has a weight of 4.0N. Calculate the force that the rubber band exerts on section XY.[2]
- (b)(iv)Explain how your answer to (b)(iii) is different if the weight of section XY is not negligible.[1]
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 2022). The mark or mark type is shown in brackets.
- [1] (a)(i) longer
- [1] (a)(i) thinner or smaller (cross-sectional) area
- [1] (a)(ii) elastic potential or strain (energy)
- [1] (b)(i) sum of / total / net / resultant moment is zero
- [1] (b)(i) when (the object is) in equilibrium
- [1] (b)(ii) distance of rubber band to pivot is smaller than the distance of the mass (to pivot)
- [1] (b)(iii) 4 x 18 = F × 2
- [1] (b)(iii) 36 N
- [1] (b)(iv) greater and the weight (of XY) contributes to the (clockwise) moment/turning effect or the moment of the rubber band force is larger
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