oldhw19 - hinojosa (jlh3938) oldhomework 19 Turner (58185)...

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1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points The planet Mars has a mass oF 6 . 1 × 10 23 kg and radius oF 3 . 4 × 10 6 m. What is the acceleration oF an object in Free Fall near the surFace oF Mars? The value oF the gravitational constant is 6 . 67259 × 10 - 11 N · m 2 / kg 2 . Correct answer: 3 . 521 m / s 2 . Explanation: Let : M = 6 . 1 × 10 23 kg , R = 3 . 4 × 10 6 m , and G = 6 . 67259 × 10 - 11 N · m 2 / kg 2 . Near the surFace oF Mars, the gravitation Force on an object oF mass m is F = G M m R 2 , so the acceleration oF an object in Free Fall is a = F m = G M R 2 = (6 . 67259 × 10 - 11 N · m 2 / kg 2 ) × 6 . 1 × 10 23 kg (3 . 4 × 10 6 m) 2 = 3 . 521 m / s 2 . 002 10.0 points An object has a weight W when it is on the surFace oF a planet oF radius R . What will be the gravitational Force on the object aFter it has been moved to a distance oF 4 R From the center oF the planet? 1. F = W 2. F = 1 4 W 3. F = 4 W 4. F = 16 W 5. F = 1 16 W correct Explanation: On the surFace oF the planet, W = GM m R 2 . When the object is moved to a distance 4 R From the center oF the planet, the gravitational Force on it will be F = GM m (4 R ) 2 = GM m 16 R 2 = 1 16 GM m R 2 = 1 16 W . 003 (part 1 oF 3) 10.0 points Consider a solar system similar to our Sun, Earth, and Moon. Moon Planet Sun By what percentage does the weight oF the 60 . 3 kg woman standing in a total eclipse oF the Sun (oF mass 1 . 979 × 10 30 kg) decrease due to the Sun’s gravitational Force (neglect- ing the Moon’s gravitational Force) when com- pared to her weight due to the planet’s mass (4 . 21 × 10 24 kg) alone? The radii oF the planet and its moon are 6 . 57 × 10 6 m and 7 . 59 × 10 22 kg, respectively, the distances oF the planet From the Sun and the moon are 1 . 403 × 10 11 m and 3 . 49 × 10 8 m, respec- tively, and the universal gravitational con- stant is 6 . 67259 × 10 - 11 N m 2 / kg 2 . Correct answer: 0
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This note was uploaded on 03/26/2010 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas.

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oldhw19 - hinojosa (jlh3938) oldhomework 19 Turner (58185)...

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