PRINTED GUIDE COMPANION · MISSION 10
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Search verified question helpVIDEO HELP · TG-V9-076
Evaluate a Mission Fuel Model (TG-V9-076)
Substitute 20 days into the fuel model. Multiply 75 × 20 to find 1,500 units used, subtract from 2,400 to get 900 remaining, then check the fuel accounting.
Watch the worked exampleVIDEO HELP · TG-V9-077
Find When Two Mission Plans Break Even (TG-V9-077)
Set both mission costs equal and solve for t = 20. Substitute into each plan to verify the same cost of 1,800 units.
Watch the worked exampleVIDEO HELP · TG-V9-079
Find a Circular Orbit’s Circumference (TG-V9-079)
Use the radius of 80,000 km to calculate circumference: 160,000π km, approximately 502,655 km. Check using the diameter and ratio π.
Watch the worked exampleVIDEO HELP · TG-V9-080
Find a Probe’s Displacement and Direction (TG-V9-080)
Combine the east and north components to find 25,000 km at 53.1° north of east. Check both components and distinguish displacement from path length.
Watch the worked exampleVIDEO HELP · TG-V9-081
Check Storm Output Against Critical Demand (TG-V9-081)
Calculate the output after an 18% loss: 5.248 kW. Compare with 5.5 kW demand and find the shortfall of 0.252 kW, or 252 W.
Watch the worked exampleVIDEO HELP · TG-V9-082
Combine Storm Probability and Shield Failure (TG-V9-082)
Find failure given a storm, then multiply 0.30 by 0.08 to get 0.024, or 2.4%. Check the two storm outcomes without assuming independence.
Watch the worked exampleVIDEO HELP · TG-V9-083
Compare Cost per Percentage Point of Risk Reduction (TG-V9-083)
Compare the extra 300 cost units with the 1.2-percentage-point risk reduction. The ratio is 250 units per percentage point; check the units and distinguish relative reduction.
Watch the worked exampleVIDEO HELP · TG-V9-078
Compare Two Planets by Radius (TG-V9-078)
Compare spherical planets with radii r and 2r. Square the ratio for surface area ×4 and cube it for volume ×8; check both by substitution.
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