(a) What is the escape speed on a spherical asteroid whose radius is 700 km and whose gravitational acceleration at the surface is `4.5 m//s^2`? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1000 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1000 km above the surface?

Explanation

(a) `2.5 xx10^3 m//s`, (b) `1.3 xx 10^5 m,` (c ) `1.9 xx 10^3 m//s`