Spinning Space ShipOne way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 53400 kg each, at the ends of a cable with their centers of mass 89 m apart, rotating around the center point of the cable with a period of 277.5 seconds.If the cable is reeled in so that the thecenters of the two pieces are now only 55.18 m apart, what will be the new period?ANSWER = 106.67 sec.The two
Spinning Space ShipOne way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating about their center of mass. A craft has been separated into two parts with a mass of 53400 kg each, at the ends of a cable with their centers of mass 89 m apart, rotating around the center point of the cable with a period of 277.5 seconds.If the cable is reeled in so that the thecenters of the two pieces are now only 55.18 m apart, what will be the new period?ANSWER = 106.67 sec.The two pieces of the spacecraft are returned to their initial configuration with a period of 277.5 seconds. A radiation leak is detected in one of the engines. An escape pod from each section of the spacecraft are ejected as indicated in the figure. Notice that the direction of rotation for the two pieces of the spacecraft is also indicated in the figure.The escape pods each have a mass of 5300 kg and are ejected with a speed of 166.68 m/s along the directions indicated in the figure with ? = 31.5 degrees. 1) What is the new period of the remaining spacecraft after the two escape pods are ejected? 2) Was it important for your calculations that these “collisions” occurred over a short time intervals? (Yes/No) 3) If these collisions occurred over longer time intervals the final periods would be? (Smaller than calculated/Larger than calculated/The same as calculated since the time interval does not matter)
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