1) An astronaut wieghs 1,960N on earth. What does he weigh onthe moon where the
ID: 1668634 • Letter: 1
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1) An astronaut wieghs 1,960N on earth. What does he weigh onthe moon where the gravity has a value of 1.63m/s^2? 2) To what altitude above the earth's surface would you youneed to travel to half your weight? 3) a. What is the weight of a 5kg backpack? b. What is the acceleration of the backpackif a net force of 10N is applied? 1) An astronaut wieghs 1,960N on earth. What does he weigh onthe moon where the gravity has a value of 1.63m/s^2? 2) To what altitude above the earth's surface would you youneed to travel to half your weight? 3) a. What is the weight of a 5kg backpack? b. What is the acceleration of the backpackif a net force of 10N is applied?Explanation / Answer
1) weight = mg 1960 = m(9.8) m = 200kg weight on moon = mg = (200)(1.63) = 326 N 2) to half your weight, you want g = 1/2(9.8) = 4.9 m/s^2 g = Gm/r^2 4.9 = ((6.67*10^-11)(5.98*10^24))/r^2 4.9 = (3.989*10^14)/r^2 r^2 = 8.140*10^13 r = 9022262.715 m r equals the distance from the center of the earth altitude = r - radius of earth = 9022262.715 - (6.38*10^6) =2642262.715 m 3) w = mg = 5(9.8) = 49 N F =ma 10 = 5a a = 2 m/s^2 Hopefully this helps!
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