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+ Course Ho... Chapter... Not Signe session masteringphysics.com a aboutt about:blank about.blank about blankNot Problem 6.38 Problem 6.38 In recent years, astronomers have found 1.2trmes that of Jupiter (RJupiter.699× planets orblting nearby stars that are quite ditferent from planets in our solar system. Kepler-30%, has a diameter that is 107 m), but a mass that is 18 times that of Jupiter (Mhpm-190x1-kg Part A What would be the period of a satelite in a low orbit around this large, dense planet? Express your answer using two significant figures. min Submit My Answers Give Up

Explanation / Answer

for low orbiting satellite,
r = R = 1.2 x 6.99 x 10^7 = 8.388 x 10^7 m

M = 18 x 1.90 x 10^27 = 3.42 x 10^28 kg

for circular path,

G M m / r^2 = m w^2 r

G M / r^3 = w^2

( G = 6.67 x 10^-11)

w = 1.966 x 10^-3 rad/s

T = 2pi / w = 3196 sec Or 53.3 min

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