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Unformatted text preview: homework 12 RAHMAN, TARIQUE Due: Mar 4 2008, 9:00 pm 1 Question 1, chap 9, sect 1. part 1 of 2 10 points A ball is tossed straight up from the surface of a small, spherical asteroid with no atmo- sphere. The ball rises to a height equal to the asteroids radius and then falls straight down toward the surface of the asteroid. What forces, if any, act on the ball while it is on the way up? 1. Only a constant gravitational force that acts downward 2. Only an increasing gravitational force that acts downward 3. Both a constant gravitational force that acts downward and a decreasing force that acts upward 4. No forces act on the ball. 5. Only a decreasing gravitational force that acts downward correct Explanation: There is no friction in the system, and the ball doesnt have any contact with other ob- jects. Thus the only force acting on the ball is the attractive gravitational force, which means the force points downward. From the formula vector F =- G M m r 2 r , we know the force will decrease as the ball rises. Question 2, chap 9, sect 1. part 2 of 2 10 points The acceleration of the ball at the top of its path is 1. equal to one-half the acceleration at the surface of the asteroid. 2. zero. 3. equal to the acceleration at the surface of the asteroid. 4. at its maximum value for the balls flight. 5. equal to one-fourth the acceleration at the surface of the asteroid. correct Explanation: Because the gravitational force is inversely proportional to the distance squared, the force at the top of its path is equal to one-fourth the force at the surface of the asteroid. So the acceleration at the top is equal to one-fourth the acceleration at the surface of the asteroid. Question 3, chap 9, sect 1. part 1 of 2 10 points Compare the gravitational force on a 30 kg mass at the surface of the Earth ( R E = 6 . 4 10 6 m, M E = 6 10 24 kg) with that on the surface of the Moon ( M M = 1 81 . 3 M E , R M = 0 . 27 R E ). What is it on the Earth? Correct answer: 293 . 115 N (tolerance 1 %). Explanation: Let : m = 30 kg , and R E = 6 . 4 10 6 m . F = GmM E R 2 E = (6 . 67 10- 11 N m 2 / kg 2 ) (30 kg) (6 . 4 10 6 m) 2 (6 10 24 kg) = 293 . 115 N . Question 4, chap 9, sect 1....
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