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OMPhQuiz_09_p76-83

# OMPhQuiz_09_p76-83 - chapter 9 Gravitation Circular...

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76 PhysiQuiz Contents Circular orbits (Section 9.3) 1, 2, and 3 are simple exercises to supplement the quantitative calculations of Examples 4, 5, and 6 in Section 9.3. 1. Satellite near Earth’s surface 2. Gravitational acceleration in outer space 3. Communication satellite above Planet X Elliptical orbits; Kepler’s laws (Section 9.4) 4. Angular momentum of 2 orbits • Context in the text: After the discussion of Kepler’s three laws in Section 9.4. Energy in orbital motion (Section 9.5) The following three problems are to supplement the examples given in Section 9.5: 5. Knock a planet out of the solar system—I 6. Knock a planet out of the solar system—II 7. Maximum height of a rocket chapter 9 Gravitation

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Determine the period of a satellite near the surface of the Earth ( r R E ): T A 2 R g E C 2 R g E B R g E D R g E Hint: g v 2 / R E 2 R E , where v/R E . This is the angular speed introduced in Question 10 for Chapter 6, with 2 / T . Extra: Use R E 6400 km and g 10 m/s 2 to estimate the period T . Should it be 1.5 seconds, 1.5 minutes, or 1.5 hours? Explanation: Based on the hint, v gR E . From this expression and v 2 R E / T , we find that T 2 R g E . Answer C. Explanation—extra: T 2 6400 1000/10 6 800 s 80 min. It is slightly over an hour. R E 1. Satellite Near Earth’s Surface PhysiQuiz 77
Derive an expression for the gravitational acceleration at height h R above the Earth’s surface. Express your answer in terms of g , the gravitational acceleration at the surface of the Earth. Notations: R and M represent the Earth’s radius and mass. Choose one of the following:

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OMPhQuiz_09_p76-83 - chapter 9 Gravitation Circular...

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