One 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 77100 kg each, at the ends of a cable with their centers of mass 178 m apart, rotating around the center point of the cable with a period of 390 seconds. NewPeriod If the cable is reeled in so that the the centers of the two pieces are now only 110.36 m apart, what will be the new period? A Hint About MỌI A Hint About Period Tnew = Neither of our equations for angular momentum include period. How can we relate period to a quantity that we ARE given (maybe angular speed)? You can model the two spaceships as point masses around a single point in the middle. What will happen to the MỌI of the spaceships when the radius is changed? How can you relate this to angular momentum and period?

One 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 77100 kg each, at the ends of a cable with their centers of mass 178 m apart, rotating around the center point of the cable with a period of 390 seconds. NewPeriod If the cable is reeled in so that the the centers of the two pieces are now only 110.36 m apart, what will be the new period? A Hint About MỌI A Hint About Period Tnew = Neither of our equations for angular momentum include period. How can we relate period to a quantity that we ARE given (maybe angular speed)? You can model the two spaceships as point masses around a single point in the middle. What will happen to the MỌI of the spaceships when the radius is changed? How can you relate this to angular momentum and period?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 60P

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One 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 79500 kg each, at the ends of a cable with their centers of mass 54 m apart, rotating around the center point of the cable with a period of 173.2 seconds. If the cable is reeled in so that the the centers of the two pieces are now only 41.58 m apart, what will be the new period? the answer I have been getting has been because I have been using Tf= (rfTi)/ri which was found by using the conservation of angular momentum(inital angular momentum equals final). What have I been doing wrong?