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Meganwright
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Homework Statement
A cloud consists of 8 solar masses of hydrogen gas (H2). Its temperature is 20 K and its radius is 0.6 light years. Will it collapse?
Homework Equations
Mj=3kTR/2Gm
3/2kT<GMm/R
The Attempt at a Solution
m=2 x 1.67 x 10^-27
G=6.67 x 10^-11
k=1.38 x 10^-23
T=20
M=1.67 x 10^31
8 solar masses = 1.67 x 10^31
mj=(3 x (1.38x10^-23) x 20)/(2 x (6.67x10^-11) x (2 x 1.67 x 10^-27)
mj = (8.28 x 10^-22)/(4.45556 x 10^-37)
mj=1.858 x 10^15