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Several planets (Jupiter, Saturn, Uranus) are encircled by rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ring-like structures. Consider a homogeneous thin ring of mass 3.3 x 1022 kg and outer radius 4.5 x 108 m (the figure). (a) What gravitational attraction does it exert on a particle of mass 85 kg located on the ring's central axis a distance 4.4 x 108 m from the ring center? (b) Suppose that, starting at that point, the particle falls from rest as a result of the attraction of the ring of matter. What is the speed with which it passes through the center of the ring? (a) Number i 9.34E-4 (b) Number Units Units N

Several planets (Jupiter, Saturn, Uranus) are encircled by rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ring-like structures. Consider a homogeneous thin ring of mass 3.3 x 1022 kg and outer radius 4.5 x 108 m (the figure). (a) What gravitational attraction does it exert on a particle of mass 85 kg located on the ring's central axis a distance 4.4 x 108 m from the ring center? (b) Suppose that, starting at that point, the particle falls from rest as a result of the attraction of the ring of matter. What is the speed with which it passes through the center of the ring? (a) Number i 9.34E-4 (b) Number Units Units N

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Several planets (Jupiter, Saturn, Uranus) are encircled by rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ring-like structures. Consider a homogeneous thin ring of mass 3.3 x 1022 kg and outer radius 4.5 x 108 m (the figure). (a) What gravitational attraction does it exert on a particle of mass 85 kg located on the ring's central axis a distance 4.4 x 108 m from the ring center? (b) Suppose that, starting at that point, the particle falls from rest as a result of the attraction of the ring of matter. What is the speed with which it passes through the center of the ring? (a) Number i 9.34E-4 (b) Number i M Units Units M N
Transcribed Image Text:Several planets (Jupiter, Saturn, Uranus) are encircled by rings, perhaps composed of material that failed to form a satellite. In addition, many galaxies contain ring-like structures. Consider a homogeneous thin ring of mass 3.3 x 1022 kg and outer radius 4.5 x 108 m (the figure). (a) What gravitational attraction does it exert on a particle of mass 85 kg located on the ring's central axis a distance 4.4 x 108 m from the ring center? (b) Suppose that, starting at that point, the particle falls from rest as a result of the attraction of the ring of matter. What is the speed with which it passes through the center of the ring? (a) Number i 9.34E-4 (b) Number i M Units Units M N
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