Can a Cloud Containing 8 Solar Masses Collapse?

In summary, a cloud collapse is a phenomenon in which a cloud of gas and dust collapses under its own gravitational force, forming a dense and compact object such as a star or planet. This can happen if the cloud has enough mass and density to overcome its own internal heat and radiation. The time it takes for a cloud to collapse varies, but it can take millions of years. During the collapse, the gas and dust particles form a rotating disk and eventually ignite nuclear fusion to create a star. It is difficult to stop or reverse a cloud collapse, but external factors can disrupt the process.
  • #1
Meganwright
6
0

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
 
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  • #2
There are several units missing, and you could explain what you did.
Which conclusion did you draw based on that calculation?
 

Related to Can a Cloud Containing 8 Solar Masses Collapse?

1. What is a cloud collapse?

A cloud collapse is a phenomenon in which a cloud of gas and dust collapses under its own gravitational force, forming a dense and compact object such as a star or planet.

2. Can a cloud collapse on its own?

Yes, a cloud can collapse on its own if the gas and dust particles within the cloud have enough mass and density to overcome the outward pressure from the cloud's own internal heat and radiation.

3. How long does it take for a cloud to collapse?

The time it takes for a cloud to collapse depends on several factors, including the size and mass of the cloud, the density and temperature of the gas and dust particles, and the strength of the gravitational forces acting on the cloud. In general, it can take millions of years for a cloud to collapse and form a star or planet.

4. What happens during a cloud collapse?

During a cloud collapse, the gas and dust particles within the cloud begin to clump together under their own gravitational force. As they come closer together, they heat up and start to spin, forming a rotating disk. This disk eventually becomes dense enough to ignite nuclear fusion, giving birth to a star.

5. Can a cloud collapse be stopped or reversed?

Once a cloud begins to collapse, it is difficult for the process to be stopped or reversed. This is because the gravitational forces acting on the cloud are much stronger than any other forces present. However, external factors such as a nearby supernova explosion or collision with another cloud can disrupt the collapse process.

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