(4) Calculate the size (radius) of an asteroid if a ball thrown with
30(m)/(s)
can escape its gravity. Assume a spherical shape of the asteroid and a uniform density of
3000k(g)/(m^(3))
. (Chapter 14) (5) An exoplanet orbiting a 0.5 solar mass star has an orbital period of 8 Earth years. The system is located at a distance of
200,000AU
from the Earth. Calculate the largest angular separation (in are seconds) between the exoplanet and the star as seen from the Earth. (Chapter 15)