Question

In our derivation of Kepler's laws, we assumed the only force on a planet is due to the Sun. In a real solar system, however, the gravitational forces from the other planets can sometimes be important. Calculate the gravitational force of Jupiter on the Earth. Do the calculations for the cases when Jupiter is both closest (Fc) to and farthest (Ff) from the Earth (see the figure below). (The properties of several objects in the solar system are given in the table below.)

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Answer #1

Fe Gmg me ---Ege 24 Fore -- mg = 1900 x 1024 kg. me - 5.98 x 10kg so = 667 NO When earth is closest to jupiter; 8 = Mean orbi30 - Fr. 2 6.67810 x 5.98X1024 X 1.991103 -------- (1:50x1022 Es = 35.28 x 1021 N . 19210593x1015 - 35.28 102 - 54.57410 -6

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