Question

A satellite circles the earth in an orbit whose radius is 3.14 times the earth's radius. The earth's mass is 5.98 x 10²⁴ kg, and its radius is 6.38 x 10⁶ m. What is the period of the satellite?

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 44.6 km/s and 59.9 km/s. The slower planet's orbital period is 8.88 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years?

A motorcycle is traveling up one side of a hill and down the other side. The crest of the hill is a circular arc with a radius of 40.5 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact with the road.

Answer 1