What is the relation between a shell and a solid sphere?

AI Thread Summary
A shell can be conceptualized as a thin layer surrounding a solid sphere, with the sphere being made up of an infinite number of these shells. The gravitational effects of a solid sphere can be derived by integrating the contributions from these individual shells. Each shell contributes to the total mass and gravitational field of the sphere, allowing for the calculation of properties like gravitational force. Understanding this relationship is essential for solving problems related to gravitational fields and potential energy in physics. The discussion emphasizes the importance of integrating the effects of smaller shells to comprehend the behavior of a solid sphere.
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The Attempt at a Solution



What is the relation between a shell and a solid sphere?
Can you give me some hints?
 

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A solid sphere can be thought of as composed of an arbitrarily large number of smaller shells...
How could you 'add up' the effects of many smaller shells, to construct a sphere?
 
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