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| 183_projects:problem1_spring2021_10 [2021/03/25 16:39] – [Project 9A: Part A: Saving a probe] pwirving | 183_projects:problem1_spring2021_10 [2021/03/25 16:40] (current) – [Project 10c:] pwirving | ||
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| You live on the planet Ayling. Ayling has a radius of 8432 Km and a mass of 6.822 × 10^26 kg. The industrial revolution on Ayling has transpired differently than on Earth due to mainly the ability to construct springs of extremely large spring constants. The space program of the planet Ayling is reliant on springs to send objects into orbit and for propulsion. However, the scientific community has recently moved to experiment with new forms of energy such as nuclear power. One of these experiments has been the sending of a nuclear-powered satellite (mass of 6900 kg) into orbit above Ayling at a distance of 22,600 Km. However, issues have arisen with the coolant system of the satellite and it is in danger of exploding and releasing harmful radiation into the upper atmosphere of Ayling. The satellite has drifted from its orbit and moved into a geostationary orbit above the north pole of the planet. It is using its thrusters which are powered by the nuclear generator to stay in this orbit. You must set the satellite on a path outside of the gravitational pull of Ayling in order to save the day. To do so, you have the ability to fire large blobs of a putty-like substance from anywhere on the surface of Ayling. The biggest blob you have access to is of mass 5000kg. You also have access to a spring with a spring constant of 4.89*10^10 kg/s^2 to fire a blob to hit the satellite and send beyond the gravitational pull of Ayling. | You live on the planet Ayling. Ayling has a radius of 8432 Km and a mass of 6.822 × 10^26 kg. The industrial revolution on Ayling has transpired differently than on Earth due to mainly the ability to construct springs of extremely large spring constants. The space program of the planet Ayling is reliant on springs to send objects into orbit and for propulsion. However, the scientific community has recently moved to experiment with new forms of energy such as nuclear power. One of these experiments has been the sending of a nuclear-powered satellite (mass of 6900 kg) into orbit above Ayling at a distance of 22,600 Km. However, issues have arisen with the coolant system of the satellite and it is in danger of exploding and releasing harmful radiation into the upper atmosphere of Ayling. The satellite has drifted from its orbit and moved into a geostationary orbit above the north pole of the planet. It is using its thrusters which are powered by the nuclear generator to stay in this orbit. You must set the satellite on a path outside of the gravitational pull of Ayling in order to save the day. To do so, you have the ability to fire large blobs of a putty-like substance from anywhere on the surface of Ayling. The biggest blob you have access to is of mass 5000kg. You also have access to a spring with a spring constant of 4.89*10^10 kg/s^2 to fire a blob to hit the satellite and send beyond the gravitational pull of Ayling. | ||
| - | ====== Project 10c: ====== | + | |
| ====== Project 10C: Saving a probe ====== | ====== Project 10C: Saving a probe ====== | ||