Tidal Forces near a Black Hole. An astronaut inside a spacecraft, which protects her from harmful radiation,
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(a) What is the tension between her ears? Would the astronaut find it difficult to keep from being tom apart by the gravitational forces? (Since her whole body orbits with the same angular velocity, one ear is moving too slowly for the radius of its orbit and the other is moving too fast. Hence her head must exert forces on her ears to keep them in their orbits.)
(b) Is the center of gravity of her head at the same point as the center of mass? Explain.
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