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GPE f b. In general, the gravitational potential energy for a planet orbiting a star is given by U _ _ Gmnm‘l "fa r . The maximum distance of this planet from its star is 700,000,000 km, and
the minimum distance is 600,000,000 km. The mass of the planet is 4 x 1022 kg, and the mass of the star is 5 x 1031 kg. How much does the OPE change during one full orbit? (3 points) c. A comet of mass 2 x 108 kg is pulled toward the star. If the comet's inital velocity is very small, and the comet starts moving toward the star from 700,000,000 km away, how fast is it going right
before it hits the surface of the star? (Assume that it does not lose any mass by melting as it
approaches the star.) (3 points) A:

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# change in CPE
AU= Uf - Vj
JU = - GMm
17 , = 6x 10"m
82 = 7X 1:0" my
AU= - 6: 6 7 x 10 - 11 x 5 x 10 31 x 4x 16 2 2 [ - 7 x10 -")
AV= - 2:66 x 1031
J
Total change in energy will be...

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