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course phy 231
Brief Gravitational Simulation straight shotUses gravitational simulation Motion in the Gravitational Field of the Earth, may use TIMER.
See also Pictures of Gravitational Simulation
Position the satellite at radius 1, angle 1 and initial direction 1, and make the initial velocity 4000. See how far it goes and how long it takes. Position the red circle at an appropriate distance (you might start with 1.1) and adjust until your 'shot' just reaches that circle. Record the radius of the red circle.
Repeat at radius 1, angle 2, initial direction 2, with initial velocity 5500.
Repeat at radius 1, angle 3, initial direction 3, with initial velocity 7000.
Give your data:
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Circle radius 1.2 earth radii, initial impulse of 3100 came very close to circle
circle radius 2. With only changing the initial impulse, 7775 came super close
circle radius 3, with only changing the initial impulse, 9000 came very close
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At angle 4 find the velocity necessary to reach a circle of radius 2.
Give your data:
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Good data. I'm not sure it completely follows the instructions, but we can use it.
What is the initial kinetic energy, per kilogram of satellite mass, for each 'shot'?
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What is the change in potential energy from the surface of the Earth to that distance? Take Earth's radius to be 6380 km. G = 6.27 * 10^-11 N m^2 / kg^2.
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How nearly does the initial KE match the required PE change?
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