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Question 28

An experiment is set up to investigate Hooke's Law using a helical steel spring suspended from a rigid support. A student measures the length of the spring before and after suspending a heavy mass from its lower end.

The length of the spring is measured using a standard metre ruler:

  • The initial length is recorded as 15.5 cm15.5\text{ cm}15.5 cm.
  • The final length is recorded as 23.5 cm23.5\text{ cm}23.5 cm.
  • The metre ruler used is accurate to the nearest 0.1 cm0.1\text{ cm}0.1 cm (giving an uncertainty of ±0.1 cm\pm0.1\text{ cm}±0.1 cm for each individual reading).

Calculate the percentage uncertainty of the measured extension of the spring. Give your answer to an appropriate number of significant figures.

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