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\[ V = \frac133 \pi hr^2 \] - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 An online astrophysics student calculates that a distant star emits energy at a luminosity of \( 3.8 \times 10^{26} \) watts. If 1 watt equals 1 joule per second, and the student wants to know how many joules of energy the star emits in 2.5 Earth years (assuming 365.25 days per year), what is the total energy in scientific notation?

📌 First, convert 2.5 years to seconds:

📌 Seconds in one year = \( 365.25 \times 24 \times 3600 = 31,557,600 \) = \( 3.15576 \times 10^7 \)

📌 So, 2.5 years = \( 2.5 \times 3.15576 \times 10^7 = 7.8894 \times 10^7 \) seconds

📌 Energy = Power × Time = \( 3.8 \times 10^{26} \times 7.889

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