p=2.93x10^6 it\'s a little hard to see in the picture A team of astronauts is on
ID: 1629502 • Letter: P
Question
p=2.93x10^6 it's a little hard to see in the picture A team of astronauts is on a mission to land on and explore a large asteroid. In addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. With what minimum initial speed v_esc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? Assume that the asteroid i: approximately spherical, with an average density p = 2.93 times 10^8 g/m^3 and volume V = 2.63 times 10^12 m^3. Recall that the universal gravitational constant is G = 6.67 times 10^-11 N middot m^2/kg^2.Explanation / Answer
formula for escape speed is
v= sqrt 2GM/r
relation between mass and density is
M = rho V
M = ( 2.93* 10^3 kg/m^3) ( 2.63* 10^12)
=7.7059 * 10^15 kg
The radius is
V = 4/3 * pi r^3
2.63 * 10^12 = 4/3 pi r^3
r = 8564.37 m
v= sqrt 2 ( 6.67 * 10^-11 )( 7.7059 * 10^15 kg)/8564.37
=10.95 m/s
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