On an asteroid, the density of dust particles at a height of 3 cm is ~30% of its value just above the surface of the asteroid. assuming the temperature is 20 k and the average dust-particle mass is 10-19 kg. estimate the gravitational acceleration on the asteroid. a. 2 m/s^2b. 10 m/s^2c. 0.1m/s^2

From the law of atmosphere

Where

= constant and is number density where the height y = 0cm

= Number density at height y=3cm

Kb = Boltzmann constant

Re-arranging the equation to have the value of the gravity,

Since it is 30% of value above surface, therefore

Therefore the correct answer is C.

i am pretty sure it is c because when people are closer together, they cannot move as freely. picture being in a mostly full elevator, for instance. the people are right next to you, and you can barely move.