R rr arr m m arr m The diagram above shows a conceptual model of a spherical star that generates and emits light energy. Here are the assumptions we will make about the star: Each cubic centimeter of the star's interior generates 3x10 watts of power. Each square centimeter of the star's surface shines 6,000 watts of power into space. (a) Suppose the star has a radius of about 7x10 cm. How much power would the interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? (b) Suppose the star has a radius of about 5x10 cm. How much power would the g interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? (c) Life on Earth depends on our Sun maintaining equilibrium, neither growing nor shrinking. Likewise, in this conceptual model of the star, if the star is too small, then the number of watts leaving the surface will exceed the number of watts generated in the interior, and the star will cool down. If the star is too large, then the number of watts generated in the interior will exceed the number of watts leaving the surface, and the star will heat up. What is the radius of the star for which the power leaving the surface equals the power generated in the interior?

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