Potential energy increase of an expanding stellar object

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The discussion centers on calculating the energy required to double the radius of a uniformly dense stellar object, expressed in terms of mass and radius. Participants emphasize the importance of demonstrating an effort to solve the problem before seeking help. A link to homework guidelines is provided, highlighting the need for adherence to forum rules. The thread is ultimately closed, indicating that no further responses will be given until the original poster follows the proper procedure. Engaging with the community requires an initial attempt at problem-solving.
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How much energy is required to double the radius of a uniformly dense stellar object? Express the answer in terms of mass and the radius of the object.
 
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Can someone here check my math? On an euc (electric unicycle), the motor has to exact the same amount of torque onto the wheel+tire that the rider exerts onto the euc, otherwise the frame would rotate (due to the motor exerting an equal in magnitude but opposite direction onto the frame than it does onto the wheel, a Newton third law like pair of torques). Choosing some arbitrary numbers: rider = 200 lb euc = 100 lb rider + euc = 300 lb tire radius = .83333 foot (10 inches) rider center...
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