A toy maker needs to know how much energy is stored in a spring that will launch a…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A toy maker needs to know how much energy is stored in a spring that will launch a small marble. In a test, the spring is stretched uniformly from 0 cm0\,\text{cm} to 30 cm30\,\text{cm} while the pulling force rises steadily from 0 N0\,\text{N} to 6 N6\,\text{N}. Treat the spring as ideal for this range. (i) Calculate the spring constant of the spring. (ii) Determine the work done in stretching the spring from 0 cm0\,\text{cm} to 30 cm30\,\text{cm}. (iii) If the same spring is compressed by 15 cm15\,\text{cm}, compute the elastic potential energy stored in it.

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