Question

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 1

M = 6.13 × 10^18 kg

Step-by-step explanation:

Answer 2

Answer: M = 6.13 × 10^18 kg

Step-by-step 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