In the figure, two satellites, A and B, both of mass m - 91.4 kg, move in the same circular orbit of radius r=7280 km around Earth (mass ME=5.98x1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy EA+ Eg of the two satellites+Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass=2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth's center or orbiting around Earth?

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In the figure, two satellites, A and B, both of mass m - 91.4 kg. move in the same circular orbit of radius r-7280 km around Earth (mass
ME=5.98x1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy EA+ Eg of
the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece
of tangled material (mass=2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the
wreckage falling directly toward Earth's center or orbiting around Earth?
(a) Number
(b) Number
(c)
Units
Units
Earth
4
Transcribed Image Text:In the figure, two satellites, A and B, both of mass m - 91.4 kg. move in the same circular orbit of radius r-7280 km around Earth (mass ME=5.98x1024 kg) but in opposite senses of rotation and therefore on a collision course. (a) Find the total mechanical energy EA+ Eg of the two satellites + Earth system before the collision. (b) If the collision is completely inelastic so that the wreckage remains as one piece of tangled material (mass=2m), find the total mechanical energy immediately after the collision. (c) Just after the collision, is the wreckage falling directly toward Earth's center or orbiting around Earth? (a) Number (b) Number (c) Units Units Earth 4
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