# ch13 - Chapter 13: GRAVITATION 1. In the formula F = Gm1 m2...

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Chapter 13: GRAVITATION 1. In the formula F = Gm 1 m 2 /r 2 , the quantity G : A. depends on the local value of g B. is used only when Earth is one of the two masses C. is greatest at the surface of Earth D. is a universal constant of nature E. is related to the Sun in the same way that g is related to Earth ans: D 2. The magnitude of the acceleration of a planet in orbit around the Sun is proportional to: A. the mass of the planet B. the mass of the Sun C. the distance between the planet and the Sun D. the reciprocal of the distance between the planet and the Sun E. the product of the mass of the planet and the mass of the Sun ans: B 3. Suitable units for the gravitational constant G are: A. kg · m/s 2 B. m/s 2 C. N · s/m D. kg · m/s E. m 3 /(kg · s 2 ) ans: E 4. The gravitational constant G has the derived units: A. N · m B. N · m/kg C. N · kg/m D. N · m 2 /kg 2 E. N · kg 2 /m 2 ans: D 5. Earth exerts a gravitational force on the Moon, keeping it in its orbit. The reaction to this force, in the sense of Newton’s third law, is: A. the centripetal force on the Moon B. the nearly circular orbit of the Moon C. the gravitational force on Earth by the Moon D. the tides due to the Moon E. the apple hitting Newton on the head. ans: C Chapter 13: GRAVITATION 193

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6. A particle might be placed 1. inside a uniform spherical shell of mass M , but not at the center 2. inside a uniform spherical shell of mass M , at the center 3. outside a uniform spherical shell of mass M , a distance r from the center 4. outside a uniform solid sphere of mass M , a distance 2 r from the center Rank these situations according to the magnitude of the gravitational force on the particle, least to greatest. A. All tie B. 1, 2, 3, 4 C. 1 and 2 tie, then 3 and 4 tie D. 1 and 2 tie, then 3, then 4 E. 1 and 2 tie, then 4, then 3 ans: D 7. Three particles, two with mass m and one with mass M , might be arranged in any of the four con f gurations known below. Rank the con f gurations according to the magnitude of the gravitational force on M , least to greatest. M m m dd 1 m M m 2 M m m d d 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . M m m d d 4 A. 1, 2, 3, 4 B. 2, 1, 3, 4 C. 2, 1, 4, 3 D. 2, 3, 4, 2 E. 2, 3, 2, 4 ans: B 8. Four particles, each with mass m are arranged symmetrically about the origin on the x axis. A f fth particle, with mass M , is on the y axis. The direction of the gravitational force on M is: x y m m m m M A. B. C. D. E. none of these directions ans: B 194 Chapter 13: GRAVITATION
9. Let F 1 be the magnitude of the gravitational force exerted on the Sun by Earth and F 2 be the magnitude of the force exerted on Earth by the Sun. Then: A. F 1 is much greater than F 2 B. F 1 is slightly greater than F 2 C. F 1 is equal to F 2 D. F 1 is slightly less than F 2 E. F 1 is much less than F 2 ans: C 10. Let M denote the mass of Earth and let R denote its radius. The ratio g/G at Earth’s surface is: A. R 2 /M B.

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## This note was uploaded on 04/13/2008 for the course PHYSICS 108 taught by Professor Halstead during the Spring '08 term at SUNY Buffalo.

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ch13 - Chapter 13: GRAVITATION 1. In the formula F = Gm1 m2...

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