solutionquiz_pdf

# solutionquiz_pdf - Version 037/AACBB quiz1121 Demkov(59910...

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Version 037/AACBB – quiz1121 – Demkov – (59910) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Given: k = 4 π 2 G M s , where M s is the mass oF the Sun. Suppose that the gravitational Force law between two massive objects is F g = G m 1 m 2 r 2+ ǫ , where ǫ is a small number. Which oF the Following would be the rela- tionship between the period T and radius r oF a planet in circular orbit? 1. T 2 = k r 3 2 ǫ 2. T 2 = k r 3 3. T 2 = k r 3+2 ǫ 4. T 2 = k r 3+ ǫ correct 5. T 2 = k r 3+2 6. T 2 = k r 2+3 ǫ 7. T 2 = k r 3 ǫ 8. T 2 = k r 2 3 ǫ 9. T 2 = k r 3 ǫ 10. T 2 = k r 3 Explanation: Kepler’s third law changes From its normal Form iF gravity is not quite an inverse square law. Let M p be the mass oF a planet and M s be the mass oF the Sun. r will be the radius oF the orbit. M p v 2 r = G M s M p r 2+ ǫ . Since v = 2 π r T 4 π 2 r 2 r T 2 = G M s r 2+ ǫ . Kepler’s third law becomes T 2 = 4 π 2 G M s r 3+ ǫ , where 4 π 2 G M s is a constant. 002 10.0 points A rocket oF mass m is to be launched From planet X, which has a mass M and a radius R . What is the minimum speed that the rocket must have For it to escape into space?

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solutionquiz_pdf - Version 037/AACBB quiz1121 Demkov(59910...

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