A student hangs various masses from the end of a spring and determines the extension produced. Fig. 2.1 shows the spring hanging vertically on its own and with an unknown mass X at one end. [Figure 2.1 (not to scale)] (a) The student plots a graph of the extension of the spring against the mass hanging on the spring. Fig. 2.2 shows the student's graph. [Figure 2.2]
- (a)(i)At point P on the graph, the line begins to curve. State the name of point P.[1]
- (a)(ii)Using Fig. 2.1 and Fig. 2.2, determine the mass X.[1]
- (a)(iii)The gravitational field strength g is 10N/kg. Calculate the weight of X.[1]
- (b)An identical spring is used with the original spring, as shown in Fig. 2.3. Together they support the mass X. [Figure 2.3 (not to scale)] State and explain how the extension in Fig. 2.3 compares with the extension in Fig. 2.1.[2]
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 2016). The mark or mark type is shown in brackets.
- [B1] limit of proportionality
- [B1] 250 g
- [B1] 2.5 N
- [B1] half the extension/10cm
- [B1] each/both/another spring shares/distributes the weight/mass or both springs bear/carry the load
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