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NASA has asked your team of rocket scientists about the feasibility of a new satellite launcher...

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Physics

NASA has asked your team of rocket scientists about the feasibilityof a new satellite launcher that will save rocket fuel. NASA's ideais basically an electric slingshot that consists of 4 electrodesarranged in a horizontal square with sides of length d at a heighth above the ground. The satellite is then placed on the groundaligned with the center of the square. A power supply will provideeach of the four electrodes with a charge of +Q/4 and the satellitewith a charge -Q. When the satellite is released from rest, itmoves up and passes through the center of the square. At theinstant it reaches the square's center, the power supply is turnedoff and the electrodes are grounded, giving them a zero electriccharge. To test this idea, you decide to use energy considerationsto calculate how big Q will have to be to get a 100 kg satellite toa sufficient orbit height. Assume that the satellite starts from 15meters below the square of electrodes and that the sides of thesquare are each 5 meters. In your physics text you find the mass ofthe Earth to be 6.0 x 1024 kg and its average radius is 6370km

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