An asteroid has a radius of 110,000 m

and a surface gravity of

0.0338 m/s^2. What is the mass of the

asteroid?

Answer: M = 6.13 * 10^18 kg

Explanation:

g = GM/r2,

Where

The mass M of the asteroid = ?

The radius r = 110000 m

g = 0.0338 m/s^2

G is the gravitational constant.

SI units its value is approximately 6.674*10^-11m3⋅kg-1⋅s-2

Using the formula

g = GM/r2

Cross multiply

GM = gr^2

6.674*10^-11M = 0.0338 * 110000^2

M = 408*10^6/6.674*10^-11

M = 6.13 * 10^18 kg