**35. ssm A spacecraft is in a circular orbit about the moon, 1.22 × 10³ m above its surface. The speed of the spacecraft is 1620 m/s, and the radius of the moon is 1.74 X 106 m. If the moon were a smooth, reflective sphere, (a) how far below the moon's surface would the image of the spacecraft appear, and (b) what would be the apparent speed of the space- craft's image? (Hint: Both the spacecraft and its image have the same angular speed about the center of the moon.)
**35. ssm A spacecraft is in a circular orbit about the moon, 1.22 × 10³ m above its surface. The speed of the spacecraft is 1620 m/s, and the radius of the moon is 1.74 X 106 m. If the moon were a smooth, reflective sphere, (a) how far below the moon's surface would the image of the spacecraft appear, and (b) what would be the apparent speed of the space- craft's image? (Hint: Both the spacecraft and its image have the same angular speed about the center of the moon.)
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Transcribed Image Text:**35. ssm A spacecraft is in a circular orbit about the moon, 1.22 x 10³ m
above its surface. The speed of the spacecraft is 1620 m/s, and the
radius of the moon is 1.74 × 106 m. If the moon were a smooth, reflective
sphere, (a) how far below the moon's surface would the image of the
spacecraft appear, and (b) what would be the apparent speed of the space-
craft's image? (Hint: Both the spacecraft and its image have the same
angular speed about the center of the moon.)
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