(i) Find out the escape speed on a spherical asteroid whose radius is around 570 km and whose gravitational acceleration at the surface is around 10.0 m/s2?
(ii) Determine how far from the surface will a particle go when it leaves the asteroid's surface having a radial speed of around 1000 m/s?
(iii) With what speed will an object strike the asteroid when it is dropped from 1000 km over the surface?