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FinnZ [79.3K]
4 years ago
6

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. A

ssuming the temperature is 20 K and the average dust-particle mass is 10^-19 kg, estimate the gravitational acceleration on the asteroid.
Physics
1 answer:
melisa1 [442]4 years ago
3 0

Answer:

g =0.1m/s^2

Explanation:

From the law of atmosphere

Nv(y) = n0*e^(-mgy/Kb*T)

<u>Given:</u>

Kb = Boltzmann's constant = 1.38*10^-23 J/K

temperature T = 20K

Mass M = 10^-19 kg

Since it is 30% of value above surface, therefore Nv = 0.3n0

Rearranging equation (I) to make g subject of the formula,

g = [ (Kb*T)*in(0.3n0 / n0) ] / (m*y)

Substituting each of the values given in the equation, we obtain

g =0.1m/s^2

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