Solution from part A: E=-KE = PE/2 Solution from part B: =3/2kt a. (NOTE: Treat the cloud as two equal masses interacting gravitationally across a distance equal to the radius of the cloud.) Use your result from part a to write down the condition for gravitational collapse in terms of the kinetic and potential energies (NOTE: This condition is an INEQUALITY) b. Use your result from part b in order to replace the kinetic energy with its temperature equivalent in your expression for the collapse condition. c. Solve the expression in ii above for the mass.
Solution from part A: E=-KE = PE/2 Solution from part B: =3/2kt a. (NOTE: Treat the cloud as two equal masses interacting gravitationally across a distance equal to the radius of the cloud.) Use your result from part a to write down the condition for gravitational collapse in terms of the kinetic and potential energies (NOTE: This condition is an INEQUALITY) b. Use your result from part b in order to replace the kinetic energy with its temperature equivalent in your expression for the collapse condition. c. Solve the expression in ii above for the mass.
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Solution from part A: E=-KE = PE/2
Solution from part B: =3/2kt
a. (NOTE: Treat the cloud as two equal masses interacting gravitationally across a distance equal to the radius of the cloud.) Use your result from part a to write down the condition for gravitational collapse in terms of the kinetic and potential energies (NOTE: This condition is an INEQUALITY)
b. Use your result from part b in order to replace the kinetic energy with its temperature equivalent in your expression for the collapse condition.
c. Solve the expression in ii above for the mass.
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