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\f78 Center of Mass (CM) 49. 51. 53. (I) The distance between a carbon atom (m = 12 u) and an oxygen atom (m = 16 u) in the CO molecule is 1.13 x 10'10 m. How far from the carbon atom is the center of mass of the molecule? (II) The CM of an empty 1250-kg car is 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front? Assume that each person has a mass of 65.0 kg. (II) A (lightweight) pallet has a load of ten identical cases of tomato paste (see Fig. 739), each of which is a cube of length I. Find the center of gravity in the horizontal plane, so that the crane operator can pick up the load without tipping it. 114 Simple Pendulum 27. (I) A pendulum has a period of 1.85 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth? 28. (I) How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete oscillation takes exactly 2.0 s.) 29. (I) A pendulum makes 28 oscillations in exactly 50 5. What is its (a) period and (b) frequency? 30. (II) What is the period ofa simple pendulum 47 cm long ( a) on the Earth, and ( b) when it is in a freely falling elevator? 31. (II) Your grandfather clock's pendulum has a length of 0.9930 m. If the clock runs slow and loses 21 5 per day, how should you adjust the length of the pendulum