Quest 8 key 2 - Version PREVIEW Rotation Gravity Chap 7...

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Version PREVIEW – Rotation & Gravity Chap. 7 – sizemore – (13756) 1 This print-out should have 28 questions. Multiple-choice 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 free-fall acceleration on the surface of the Moon is about one-sixth 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-
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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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