Final answer:
The mechanical property of metal that identifies the ability to absorb shock and be deformed without rupturing is elasticity.
Step-by-step explanation:
The mechanical property of metal that identifies the ability of a material to absorb shock and be deformed without rupturing is elasticity.
Elasticity is the tendency of solid objects to return to their original shape after the external forces causing deformation are removed. Ductile materials like metals show a gradual decrease in stress with increasing strain, which means they can be deformed without rupturing. This property allows metals to absorb shock and undergo plastic deformation without breaking.
An example that exhibits elasticity is a steel band, which is hard to deform and requires a high load to achieve significant strain.