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41. A magnetic monopole of charge g and mass m, initially at rest, falls from infinity toward the surface of a planet. The planet has a mass M and a magnetic dipole moment m. If the monopole strikes the surface of the planet at a (magnetic) lati- tude 0, what is its impact speed? Evaluate numerically for the Earth; assume that g = ch/2e and m = 1 x 10 g, and ignore atmospheric friction. The magnetic dipole moment of the Earth is 8.1 x 1025 gauss cm'.According to a study by Dr. John Mcdougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 4 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. a) f(x) (Enter as a fraction) b) u- (Round to 1 decimal places) c) a (Round to 4 decimal places) d) Find the probability that the individual lost more than 10 pounds in a month. (Round to 4 decimal places) e) Suppose it is known that the individual lost more than 12 pounds in a month. Find the probability that he lost less than 15 pounds in the month. (Round to 4 decimal places) () P(5 7)= (Round to 4 decimal places)