The asteroid belt is a region between mars and jupiter that contains a multitude of large rocks and planetary fragments called asteroids. most asteroids are about 3 au from the sun. what is the best estimate of the orbital period of a typical asteroid?
a. 2.1 earth years
b. 5.2 earth years
c. 9.0 earth years
d. 13.5 earth years

Thank you for posting your question here at The best best estimate of the orbital period of a typical asteroid is letter B which is 5.3 Earth years. Explanation: Kepler's third law, shown below, relates a planet's orbital period to its orbital radius. T is the planet's orbital period and r is its orbital radius. k is a constant that depends upon the mass of the star at the center of the solar system.so 

T2 = kr3 

When AU are used in our solar system, k is 1. To solve, cube the orbital radius, so 33 is 27. Then take the square root of the result. The square root of 27 is close to 5.2, so the period of a typical asteroid is close to 5.2 Earth years.