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To find the mass corresponding to a luminosity of 3160 times that of the Sun, we can use the mass-luminosity relationship for main-sequence stars, which states that luminosity (L) is proportional to mass (M) raised to approximately 3.5 power (L ∝ M^3.5). Rearranging this gives us M ≈ (L/L_sun)^(1/3.5), where L_sun is the luminosity of the Sun. Plugging in 3160 for luminosity, the mass would be roughly 15.5 times the mass of the Sun.

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2w ago

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What is the significance of the mass-luminosity relationship in understanding the behavior of stars?

The mass-luminosity relationship helps us understand how a star's mass influences its brightness. This relationship is crucial in predicting a star's behavior, such as its energy output, lifespan, and eventual fate.


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It is 3160. You seem to be unaware of the fact that you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.