Question

Ceres is considered to be the largest asteroid in the asteroid belt between the orbit of mars and jupiter . Ceres diameter is approximately 945 km, and it's mass 8.96 x 10²⁰ kg. Find the acceleration due to gravity and the asteroid's escape speed

Answer 1

The acceleration due to gravity is

$$g=GM/R^2=0.067\text{ m/s}^2.$$

The escape speed:

$$v_e=\sqrt{2GM/R}=356\text{ m/s}.$$