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Problem 3.29 Astar ofmass 6 x1000 kg is located at <6 x ío» 5x10a, o> m. A planet of mass 9 × iO24 kg s located at eston 10x10ao, m and is me 0> m/s. yofea nofil nr. ng w haves (a) During a time interval of 1 10 seconds, what is the change in the planets velocity? m/s (b) During this time interval of 1 x 106 seconds, what is the change in the planets position? (e) why are the procedures you followed in parts (a) and (o) able to produce usable results but wouldnt work it you used a viue of ar of 1 x 10 seconds instead of 1 x 1of seconds? Check a hat apply: The distance moved in the short time interval is small compared to the distance from the star to the planet, so the force is nearly constant in the momentum update equation. With the larger time intervial it would be important to consider relativistic effects The momentum change in the short time interval is small compared to the momentum, so the velocity in the position update equation is nearty constant.
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