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what is a vestigial structure - NBX Soluciones

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Marcus, a mechanical engineering intern, designed a pulley system lifting a 450 kg engine. The motor exerts a force of 5000 N. If the system lifts the engine at constant velocity, what is the coefficient of kinetic friction between the engine and pulley surface? (Use g = 9.8 m/s²)

📌 Weight of engine = 450 × 9.8 = <<450*9.8=4410>>4410 N

📌 Net force applied = 5000 N, so frictional force = 5000 − 4410 = <<5000-4410=590>>590 N

📌 Normal force = 4410 N → friction = μN → μ = 590 / 4410 ≈ <<590/4410=0.1337>>0.1337

📌 #### 0.134

📌 Aria, a home-schooled student, is modeling exponential decay in her chemistry lab. She starts with 800 grams of a radioactive isotope with a half-life of 6 hours. How much remains after 15 hours?

📌 Number of half-lives = 15 / 6 = 2.5

📌 Remaining amount = 800 × (½)^2.5 = 800 × (1/√(2³)) = 800 × (1/√8) ≈ 800 × 0.35355 ≈ <<800*0.35355=282.84>>282.84 g

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