A spherical asteroid with radius of 18.6 km has uniform density 3500 kg/m3. Find the gravitational...
A spherical asteroid with radius of 18.6 km has uniform density 3500 kg/m3.
Find the gravitational acceleration at the asteroids surface
Express answer in two significant figures
Homework Answers
Spherical astroid radius R = 18.6 km = 18600 m
density d = 3500
kg/m3
now mass of astroid is m = d*volume of the
astroid
as astroid is spherical so volume of sphere v = 4/3 pi
r^3
= 4/3
*3.14*(18.6*10^3)^3
=
2.694059712*10^13 m3
mass m = 2.694059712*10^13*3500
= 9.429208992*10^16 kg
now gravitational acceleration is g =
G*M/R^2
g =
6.67408*10^-11 *9.429208992*10^16/(18.6*10^3)^2
g = 0.0181903385216 m/s2
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