Chapter 13

# Chapter 13 - Chapter 13 GRAVITATION 1 In the formula F =...

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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: 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. 7. Three particles, two with mass m and one with mass M , might be arranged in any of the four con fi gurations known below. Rank the con fi gurations according to the magnitude of the gravitational force on M , least to greatest. M m m d d 1 m M m d d 2 M m m d d 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . M m m d d 4 8. Four particles, each with mass m are arranged symmetrically about the origin on the x axis. A fi 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

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