【Injury】 , 【hurt】 , 【damage】 , 【harm】 , 【mischief】 mean the act or the result of inflicting on a person or thing something that causes loss or pain.
【Injury】 is the comprehensive term referable to an act or to a result of that act which involves a violation of a right or of health, freedom, and soundness of body or mind, or causes a partial or entire loss of something of value.
【Hurt】 , applies basically to a physical 【injury】 (as a wound, lesion, or contusion) that results from a hit, a stab, or a blow. In extended use 【hurt】 applies chiefly to an act or result that involves pain, suffering, or loss; thus, a person whose rights as an heir have been violated may be said to suffer an 【injury】 but not a 【hurt】 ; a person whose reputation has been damaged by a false rumor has suffered both an 【injury】 to his business and a 【hurt】 to his feelings; a dentist in drilling a tooth may cause a 【hurt】 , but not commonly an 【injury】 .
【Damage】 applies to an 【injury】 that involves loss (as in property, in value, or in usefulness).
【Harm】 (usually without an article) is referable to an evil that injures or may injure; often it suggests a consequent suffering (as grief or shame).
【Mischief】 carries a stronger reference to the person or thing that works 【harm】 or is capable of inflicting 【injury】 ; it applies either to the 【harm】 or 【injury】 that results from an agent or agency or occasionally to the aspect of a situation that causes 【harm】 or vexation.