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Unformatted text preview: Version PREVIEW – Rotation & Gravity Chap. 7 – sizemore – (13756) 1 This printout should have 28 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. Apollo 11 in Orbit 001 (part 1 of 2) 10.0 points When it orbited the Moon, the Apollo 11 spacecraft’s mass was 15900 kg, its period was 142 min, and its mean distance from the Moon’s center was 2 . 0824 × 10 6 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass 7 . 36 × 10 22 kg. Given the gravitational constant G is 6 . 67259 × 10 − 11 N m 2 / kg 2 , calculate the or bital speed of the spacecraft. Correct answer: 1535 . 69 m / s. 002 (part 2 of 2) 10.0 points What is the minimum energy required for the craft to leave the orbit and escape the Moon’s gravitational field? Correct answer: 1 . 87489 × 10 10 J. Apollo Astronauts 003 (part 1 of 2) 10.0 points On the way to the moon, the Apollo astro nauts reach a point where the Moon’s gravi tational pull is stronger than that of Earth’s. Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5 . 98 × 10 24 kg and 7 . 36 × 10 22 kg, respectively, and the distance from the Earth to the Moon is 3 . 84 × 10 8 m. Correct answer: 3 . 45653 × 10 8 m. 004 (part 2 of 2) 10.0 points What is the acceleration due to the Earth’s gravity at this point? The value of the universal gravitational constant is 6 . 672 × 10 − 11 N · m 2 / kg 2 . Correct answer: 0 . 00333946 m / s 2 . Attraction in Space Shuttle 005 10.0 points Earth’s gravitational field is 8 . 15 N / kg at the altitude of the space shuttle. What is the size of the force of attraction between a student of mass 47 . 3 kg and Earth? Correct answer: 385 . 495 N. Density Ratios 006 10.0 points The freefall acceleration on the surface of the Moon is about onesixth that on the surface of the Earth. If the radius of the Moon is about 0 . 25 R E , find the ratio ρ Moon : ρ Earth of their densities. Correct answer: 0 . 666667. Escape Speed 007 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? 1. radicalbigg GmM R 2. GM (2 R ) 2 3. radicalbigg GMm 2 R 4. radicalbigg GM R 5. radicalbigg 2 GMm R 6. GM R 2 7. radicalbigg 2 GM R correct 8. radicalbigg GM 2 R Explorer VIII 008 10.0 points Given: R Earth = 6 . 37 × 10 6 m The Explorer VIII satellite, placed into or bit November 3, 1960, to investigate the iono Version PREVIEW – Rotation & Gravity Chap. 7 – sizemore – (13756) 2 sphere, had the following orbit parameters: perigee 621 km and apogee 4100 km(both distances above the Earth’s surface); period 98 . 3 min. Find the ratio v p /v a ....
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This note was uploaded on 11/20/2010 for the course PHYS 57741 taught by Professor Noname during the Spring '10 term at Andhra University.
 Spring '10
 Noname
 Physics, Gravity

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