Question

1)Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 39.7 km/s and 53.7 km/s. The slower planet's orbital period is 8.02 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years?

2)Two satellites are in circular orbits around the earth. The orbit for satellite A is at a height of 461 km above the earth’s surface, while that for satellite B is at a height of 881 km. Find the orbital speed for (a) satellite A and (b) satellite B.

3)The drawing shows a baggage carousel at an airport. Your suitcase has not slid all the way down the slope and is going around at a constant speed on a circle ((r = 14.0 m) as the carousel turns. The coefficient of static friction between the suitcase and the carousel is 0.570, and the angle θ in the drawing is 18.7°. How much time is required for your suitcase to go around once? Assume that the static friction between the suitcase and the carousel is at its maximum.

4) A satellite is in a circular orbit about the earth (M_E = 5.98 x 10²⁴ kg). The period of the satellite is 2.37 x 10⁴ s. What is the speed at which the satellite travels?

Answer 1