The following data were obtained for two springs, P and Q: P: causes extension and…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

The following data were obtained for two springs, P and Q: Spring P: 0 N0\,\text{N} causes 0 cm0\,\text{cm} extension and 6 N6\,\text{N} causes 3 cm3\,\text{cm} extension. Spring Q: 0 N0\,\text{N} causes 0 cm0\,\text{cm} extension and 6 N6\,\text{N} causes 2 cm2\,\text{cm} extension. Assume each spring follows Hooke’s law within this range. (a) Which spring has the larger spring constant? (b) Calculate the elastic potential energy stored in spring P when it is extended by 3 cm3\,\text{cm}. (c) Calculate the elastic potential energy stored in spring Q when it is extended by 3 cm3\,\text{cm} and state which spring stores more energy at this extension.

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