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QTest #7-solutions - Version 065/ABAAB QTest#7...

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Version 065/ABAAB – QTest #7 – Antoniewicz – (56445) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points A projectile is fired vertically upward from the surface of planet Moorun of mass 9 × 10 24 kg and radius 2 × 10 6 m. If this projectile is to rise to a maximum height above the surface of Moorun equal to 5 × 10 6 m, what must be the initial speed of the projectile? The universal gravitational constant is 6 . 67259 × 10 - 11 N · m 2 / kg 2 . 1. 3.65311 2. 19.5267 3. 10.5456 4. 5.44573 5. 7.56265 6. 9.85169 7. 24.163 8. 8.47695 9. 13.9505 10. 20.7112 Correct answer: 20 . 7112 km / s. Explanation: Let : M = 9 × 10 24 kg , R = 2 × 10 6 m , h = 5 × 10 6 m , and g = 6 . 67259 × 10 - 11 N · m 2 / kg 2 . Denote the mass of the projectile by m . Its initial total energy (at take-off) is E i = 1 2 mv 2 - GMm R and its total energy at the maximum height is E f = 0 - GMm R + h , since the projectile has zero velocity at its highest point.
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