Consider as a system the sun with saturn in a circular orbit around it. find the magnitude of the change in the velocity of the sun relative to the center of mass of the system during the time saturn completes half an orbit. assume the mass of the sun is 5.68 1029 kg, the mass of saturn is 5.68 1026 kg, its period is 9.29 108 s, and the radius of its orbit is 1.43 1012 m. ignore the influence of other celestial objects.

Aparticle initially moving east with a speed of 20.0 m/s, experiences an acceleration of 3.95 m/s, north for a time of 8.00 s. what was the speed of the particle after this acceleration, in units of m/s? give the answer as a positive number.

Suppose astronomers built a 140-meter telescope. how much greater would its light-collecting area be than that of the 10-meter keck telescope? express your answer using two sign

The frequency of a tuning fork can be found by the method shown. a long tube open at both ends is submerged in a beaker of water, and the vibrating tuning fork is placed near the top of the tube. the length l of the air column is adjusted by moving the tube vertically. the sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. the smallest value for l for which a peak occurs in sound intensity is 7 cm. l what is the frequency of the tuning fork? the speed of sound in air is 345 m/s. answer in units of hz