A piece of rubber under an ordinary stress can display 100% strain; yet when unloaded, it returns to its original length. Does this show that the restoring forces in a rubber piece are strictly conservative?

In case of rubber, the loading curve of stress versus strain graph does not coincide with unloading curve because of elastic hysteresis. Hence work done by restoring force over one complete cycle of loading and unloading is not zero. Hence restoring forces in a rubber piece are not conservative. 


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A rectangular beam is bent into arc of a circle. What type of strain is produced in it?


When rectangular beam is bent into arc of a circle, the layers on convex side of neutral plane undergo extensional stress and the layers that are on concave side undergo compressional stress.
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Plot the graph between intermolecular forces. What is the range of these forces? What is the range of these forces?


The range of intermolecular forces is the distance upto which the influence of one molecule can be experienced by other. Range is different for different substances. It is of the order


The range of intermolecular forces is the distance upto which the inf
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If we compress or elongate the solids, what happens to potential energy of solid? 

When a soild is compressed or elongated, it's P.E increases. Potential energy increases because work has to be done against force of repulsion during compression and against force of attraction during elongation.
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What is elastic fatigue and why bridges are declared unsafe after long use?

When continuous restoring and deforming force is applied, a body loses its strength and body is said to undergo elastic fatigueness. Bridges are regularly and continuously used. Hence, they are under alternate stress which causes elastic fatiguenes in steel. Therefore, bridges are declared unsafe for prologed use. 
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