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Physics M122 105A - Set 6 - Solution ProbSet6sol
Physics M122
Physics M122
105A - Set 6 - Solution (Grades are out of 150) 1. (36pt) Assume Earth’s orbit to be circular and that the Sun’s mass suddenly decreases by half. What orbit does the Earth then have? Will the Earth escape the solar system? Answer: The potential energy is U = − GM m⊕ r⊕ (1) The kinetic every is m⊕v 2/2 where v = ωr which we can find from by equating the gravitational force to the centripetal force m⊕ω 2 r⊕ = GM m⊕ r 2 ⊕ (2) so ω 2 = GM r 3 ⊕ (3...
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