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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Dr. Vega performs an analysis every 15 days starting on day 0, so the days of analysis are 0, 15, 30, ..., up to and including 240.

📌 This is an arithmetic sequence with first term 0, common difference 15, and last term 240.

📌 Thus, she performs 17 spectral analyses over the 240-day period.

📌 Dr. Vega observes that a newly discovered exoplanet emits thermal radiation proportional to the fourth power of its absolute temperature (Stefan-Boltzmann law). If its temperature rises from 300 K to 360 K, by what factor does the emitted radiation increase?

📌 So, radiation increases by a factor of 2.0736.

📌 So, the absorbed energy totals 31,824 kJ over 10 hours.

📌 An exoplanets atmospheric pressure at sea level is measured at 98.7 kPa, which is 1.087 times Earths sea level pressure (101.325 kPa is Earths). If a probe designed for Earths 101.325 kPa must withstand a pressure margin equal to 15% above the exoplanets pressure, what minimum pressure must it be built to resist?

📌 Thus, the probe must be built to resist at least 113.445 kPa.

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