General Physics 2 HW 4 Due Wednesday, February 23 1. NASA has asked your team of rocket scientists about the feasibility of a new satellite launcher that will save rocket fuel. NASA's idea is basically an electric slingshot that consists of 4 electrodes arranged in a horizontal square 5 m on a side. The satellite is placed 15 m directly under the center of the square. A power supply will provide each of the four electrodes with the same charge and the satellite with an opposite charge 4 times larger. When the satellite is released from rest, it moves up and passes through the center of the square. At the instant it reaches the square's center, the power supply is turned off and the electrodes are grounded, giving them a zero electric charge. To test this idea, you decide to use energy considerations to calculate the electrode charge necessary to get a 100 kg satellite to an orbit height of 300 km. In your physics text you find the mass of the Earth to be 6.0 × 10 24 kg and the radius of the Earth to be about 6,400 km. 2.
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