13. Rotational Inertia & Energy - Part 1 of 2
13. Rotational Inertia & Energy / More Conservation of Energy Problems / Problem 1
In a simulation of orbital mechanics, a model space station module of mass 2.0 kg is tethered to a central pivot by a strong, lightweight cable 10 m long. Initially, the module orbits the pivot in a horizontal plane at a speed of 5.0 m/s. To simulate a maneuver to a higher orbit speed for docking purposes, the cable is gradually pulled in, reducing the orbit's radius to 6.0 m. Determine the work done to achieve this higher orbit speed.
![Diagram of a space station module orbiting a pivot, illustrating mass, speed, and radius.](https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/dff2f224-d435-43cb-b08b-05000199c680)
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