1)Two newly discovered planets follow circular orbits around astar in a distant part of the galaxy. The orbital speeds of theplanets are determined to be 39.7 km/s and 53.7 km/s. The slowerplanet's orbital period is 8.02 years. (a) What is the mass of thestar? (b) What is the orbital period of the faster planet, inyears?
2)Two satellites are in circular orbits around the earth. Theorbit for satellite A is at a height of 461 km above the earth’ssurface, while that for satellite B is at a height of 881 km. Findthe orbital speed for (a) satellite A and(b) satellite B.
3)The drawing shows a baggage carousel at an airport. Yoursuitcase has not slid all the way down the slope and is goingaround at a constant speed on a circle ((r = 14.0 m) asthe carousel turns. The coefficient of static friction between thesuitcase and the carousel is 0.570, and the angle θ in thedrawing is 18.7°. How much time is required for your suitcase to goaround once? Assume that the static friction between the suitcaseand the carousel is at its maximum.
4) A satellite is in a circular orbit about the earth(ME = 5.98 x 1024 kg). The period ofthe satellite is 2.37 x 104 s. What is the speed atwhich the satellite travels?
