PC1431-2009-3-L21-22E Extra slides and solutions on Gravitation

The same and is given by force due to an element of

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Unformatted text preview: ent of length dl and mass dM is given by: dl s a M x dF m By symmetry, other than the component of the forces in the xFθ direction, those in other directions dF’ cancel. y z x Since every element contributes the same amount total force is: PE due to a Uniform Solid Sphere Uniform 0 How does the potential energy look like inside the Earth (assume ρ uniform)? Can use the relationship Quiz: Changing Orbits Quiz: The engines of a spacecraft in a circular orbit about the The Earth are fired briefly to give the craft an outward thrust. What will the new orbit look like? What kick (a) (b) OR What if it is given a tangential thrust? kick (a) (b) OR Galileo: Launched in Oct 1989. Target: Jupiter. Initial launch towards Venus! Why such a complicated trajectory? For explanation, google “gravitational slingshot”, or check out : http:// en.wikipedia.org/wiki/gravita Source: http://www2.jpl.nasa.gov/galileo Gravitational “Slingshot” Gravitational Planet’s frame Sun’s frame PC1431 Term Test 2009 PC1431 Analysis of Test Results Term Test Results (II) 1 2 3 4 5 6 7 8 9 10 Ans A D C D E B B D A C % 72.34 82.39 81.69 54.63 60.10 59.50 27.16 67.26 51.44 81.89 Qn No 11 12 13 14 15 16 17 18 19 20 Ans E D A B B B D C B D % 69.45 76.32 68.46 45.37 72.74 83.78 62.49 50.85 75.62 31.54 15 17 % correct Qn No 100 90 80 70 60 50 40 30 20 10 0 1 3 5 7 9 11 13 Test Score 19 Term Test Results (I) Term Class Performance: Mean = 12.75, Standard Deviation = 4.02 Number of students 120 100 80 60 40 20 0 1 3 5 7 9 11 13 Test Score 15 17 19...
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