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| 184_projects:neg_energy [2023/01/27 15:25] – tbott | 184_projects:neg_energy [2023/09/14 20:12] (current) – tbott | ||
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| You are tasked with carrying out the crucial step BEFORE the launch can happen: compressing the **locking** spring that will be used in the launch. The mechanism for how the spring is compressed is depicted in the output below: | You are tasked with carrying out the crucial step BEFORE the launch can happen: compressing the **locking** spring that will be used in the launch. The mechanism for how the spring is compressed is depicted in the output below: | ||
| - | {{184_projects: | + | {{184_notes: |
| The right (blue) sphere represents the positively charged T.N.D., which is placed on a frictionless track. The left (red) sphere represents a negatively charged T.P.D. (T.N.D. Preparation Device), which has the same mass and radius as the T.N.D., and has a net charge of QTPD=−0.025C. It is held in a fixed position; its sole purpose is to attract the T.N.D. along the track towards the spring. The T.N.D. is initially held in place by the green wall, which is removable. The distance between the two gray walls is d=85 m. The massive spring has a spring constant of ks=4.6×104 N/m, and a rest length of L0=13 m. | The right (blue) sphere represents the positively charged T.N.D., which is placed on a frictionless track. The left (red) sphere represents a negatively charged T.P.D. (T.N.D. Preparation Device), which has the same mass and radius as the T.N.D., and has a net charge of QTPD=−0.025C. It is held in a fixed position; its sole purpose is to attract the T.N.D. along the track towards the spring. The T.N.D. is initially held in place by the green wall, which is removable. The distance between the two gray walls is d=85 m. The massive spring has a spring constant of ks=4.6×104 N/m, and a rest length of L0=13 m. | ||
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| To complicate things, the scientists inform you of two restrictions to the safety and capabilities of the mechanism: | To complicate things, the scientists inform you of two restrictions to the safety and capabilities of the mechanism: | ||
| - | 1. The track is not built to contain the T.N.D. at any speed; the maximum speed it should reach on the track is vmax=50 m/s. | + | 1. The track is not built to contain the T.N.D. at any speed; the maximum speed it should reach before hitting |
| 2. The spring is very large. In order for the compressed spring-T.N.D. system to fit on a transport truck, the spring must be compressed at least Δxmin=6 m in length. | 2. The spring is very large. In order for the compressed spring-T.N.D. system to fit on a transport truck, the spring must be compressed at least Δxmin=6 m in length. | ||
| - | You must determine a range of charge that would be acceptable | + | You must determine a range of charge that would be acceptable to place on the T.N.D., such that the compression process is both safe AND effective. Once compressed, the spring-T.N.D. system can be transported by truck to any desired launch location, where the T.N.D. can be remotely launched by the spring into the atmosphere to hopefully mitigate some of the crazy weather in Lakeview. |
| <WRAP INFO> | <WRAP INFO> | ||