The asteroid belt between Mars and Jupiter consists of many fragments (which some space scientists think came from a planet that once orbited the Sun but was destroyed). (a) If the center of mass of asteroid belt (where the planet would have been) is about three times farther from the Sun than the Earth, how long would it have taken this hypothetical planet to orbit the Sun? (b) Can we use these data to deduce the mass of this planet?

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Chapter13: Universal Gravitation
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Problem 13.6OQ: An object of mass m is located on the surface of a spherical planet of mass M and radius R. The...
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3. The asteroid belt between Mars and Jupiter consists of many fragments (which some space
scientists think came from a planet that once orbited the Sun but was destroyed). (a) If the
center of mass of asteroid belt (where the planet would have been) is about three times
farther from the Sun than the Earth, how long would it have taken this hypothetical planet to
orbit the Sun? (b) Can we use these data to deduce the mass of this planet?
Transcribed Image Text:3. The asteroid belt between Mars and Jupiter consists of many fragments (which some space scientists think came from a planet that once orbited the Sun but was destroyed). (a) If the center of mass of asteroid belt (where the planet would have been) is about three times farther from the Sun than the Earth, how long would it have taken this hypothetical planet to orbit the Sun? (b) Can we use these data to deduce the mass of this planet?
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