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State whether the following statements a...

State whether the following statements are true or false with reasons.
a. Elastic forces are always conservative.
b. Elastic forces are strictly conservative only when Hooke's law is obeyed.
c. When a wire is loaded beyond the elastic limit and then reloaded, the work done disappears completely as heat.

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Let's analyze each statement one by one and determine whether they are true or false, providing reasons for our conclusions. ### Statement a: Elastic forces are always conservative. **Solution:** This statement is **False**. Elastic forces are not always conservative because the work done in deforming an elastic body can depend on the path taken during the deformation. In a conservative force, the work done is independent of the path and only depends on the initial and final positions. In the case of elastic forces, if the deformation does not follow the same path during unloading, some energy may be lost as heat or other forms of energy, indicating that elastic forces do not always meet the criteria for being conservative. ### Statement b: Elastic forces are strictly conservative only when Hooke's law is obeyed. ...
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