Question

You are a mad scientist who wants to create a parallel universe with a gravitationnal constant G-0. In order to have planetary motion, you give a positive charge to the central star and a negative charge to the planets. If the sun has a charge of 2,210 exaCoulombs (10 18 C), what should be the charge of earth (absolute value) so that it still has a period of 365 days? Give your answer in teraCoulombs (10 12 C) Use the following constants 2/N m2 8.854 x 10-12 C2 MSun 1.988 x 1030 kg MBarth 5.962 x 1024 1k Sun-Earth = 1.496 × 1011 m Note : The value for the charge of the sun is different for all students. There might be a comma in the number; it is NOT a decimal separator but rather an old fashioned thousand separator. Simply ignore it the value for the charge has no decimals. Note 2: Of course you can assume that you are able to create a mysterious force that will allow the stars and planet to stick together despite zero gravity!

Answer 1