A 60-Kg Object,initially at Rest in Free Space,"explodes" into Three Segments

question 67

Multiple Choice

A 6.0-kg object,initially at rest in free space,"explodes" into three segments of equal mass.Two of these segments are observed to be moving with equal speeds of 20 m/s with an angle of 60 $\degree$ between their directions of motion.How much kinetic energy is released in this explosion?

• A)2.4 kJ
• B)2.9 kJ
• C)2.0 kJ
• D)3.4 kJ
• E)1.2 kJ

---

Definitions:

Edgeworth Box

A diagram used in economics to show the distribution of resources and the potential for gains from trade between two individuals or entities.

Efficient Allocation

An optimal distribution of resources where it is impossible to make someone better off without making someone else worse off.

Goods

Tangible products or commodities that can be bought, sold, or traded to satisfy wants or needs.

Pareto Optimal

A state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off.