Physics 5054 · O Level · Elastic deformation

Elastic deformation — practice question

The arrangement in Fig. 1.1 is set up to measure how far a spring extends. Fig. 1.1 shows a spring hanging from a support, a mass fixed to its lower end and a vertical scale beside it. The diagram labels: spring, mass, scale.
(a)[1]

Explain in what way the mass applies a force to the spring.

(b)[1]

The force on the spring is a vector quantity. State what is meant by the term vector quantity.

(c(i).1)[1]

State an equation connecting the unstretched length $l_0$ of the spring, its stretched length $l$, and the extension $e$.

(c(i).2)[1]

A mass exerts a force of $9.0\,\text{N}$ on the spring. Determine the extension produced in the spring by this mass.

(c(ii))[1]

Once the force reaches $10\,\text{N}$, the spring has reached its limit of proportionality. Beyond this point, the spring becomes easier to stretch. On Fig. 1.2, continue the line to indicate how the length varies when the force exceeds $10\,\text{N}$.

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