NASA Puts a Satellite into Space That Consists of Two

question 20

Short Answer

NASA puts a satellite into space that consists of two small 32-kg balls connected by a 12-m long light cable, as shown in the figure. The entire system is initially rotating at 4.0 rpm about an axis perpendicular to the cable at the center of mass. Motors in each mass reel out more cable so that the masses double their separation to 24 m.
(a)What is the final rotational speed (in rpm)of the balls?
(b)If the initial rotational kinetic energy of the system was K, what is the final rotational kinetic energy in terms of K?

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Definitions:

Sociobiological

Relating to the study of the biological basis of social behavior, suggesting that such behavior is influenced by evolutionary factors.

Sociological

Sociological pertains to the study of society, its institutions, relationships, and processes, focusing on understanding social behaviors, structures, and functions.

Reproductive Success

A measure of an individual's genetic contribution to the next generation through offspring that survive to reproduce themselves, often a key focus in evolutionary biology.

Evolutionary View

A theoretical perspective that explains the behaviors, physical characteristics, and adaptations of organisms as the result of natural selection and survival needs.