A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=lw; w=2πf=2π/?; Isphere=2/5mr2 How much angular momentum Li does the star have before it collapses? Group of answer choices: A)riTi B)mr2i C)mivi D)Iiwi What is the rotation rate ??ωi of the star before collapsing? Group of answer choices A)riTi B)mr2i C)2π/Ti D)2πfi Suppose we model the star as a solid sphere of radius ri with moment of inertia 2/5mr2i (a good assumption). What does our description of Li read now? Group of answer choices A)2/5??2i(2πfi) B)2/5??2i(2π/Ti) C)2/5??2i(mr2i) D)2/5??2i(riTi) How

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Chapter34: Frontiers Of Physics
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A star with mass m, period Ti = 30 days, and radius ri = 1E4 km collapses into a neutron star with a radius of rf = 3 km. Our goal will be to determine the period Tf of the neutron star. Useful formulae: Li=Lf; L=lw; w=2πf=2π/?; Isphere=2/5mr2 

How much angular momentum Li does the star have before it collapses?
Group of answer choices:
A)riTi

B)mr2i

C)mivi

D)Iiwi

What is the rotation rate ??ωi of the star before collapsing?

Group of answer choices

A)riTi

B)mr2i

C)2π/Ti

D)2πfi

Suppose we model the star as a solid sphere of radius ri with moment of inertia 2/5mr2i (a good assumption). What does our description of Li read now?

Group of answer choices

A)2/5??2i(2πfi)

B)2/5??2i(2π/Ti)

C)2/5??2i(mr2i)

D)2/5??2i(riTi) 

How much angular momentum Lf does the star have after it collapses?

Group of answer choices

A)mfvf

B)rfTf

C)I fwf

D)mr2

What is the rotation rate wf of the star after collapsing?

Group of answer choices

A)2π/Tf

B)mr2f

C)2πf f

D)r f ? f

The new object, a neutron star, is also shaped like a sphere. What does Lf read?

Group of answer choices

A)2/5mr2f(2πff)

B)25mr2f(rfTf)

C)25mr2f(mr2f)

D)2/5mr2f(2?/??) 

Assuming angular momentum is conserved during collapse (also a good assumption), what is our prediction for the period of the neutron star, Tf?

Group of answer choices

A)2/5Ti

B)πr2f

C)Ti(rf/ri)2

D)2πTi

What is Tf in units of days?

Group of answer choices

A)0.4E-6 days
B)2.7E-6 days
C)3.0E-6 days
D)9.8E-6 days  
 
What is Tf in units of seconds?

Group of answer choices

A)0.23 sec
B)0.46 sec
C)3.00 sec
D)2.00 sec 
 
What is the physical interpretation of Tf?

Group of answer choices

A)Length of the neutron star’s “day”
B)Length of the neutron star’s “year”
C)There is no physical interpretation
D)Time to complete a single orbit

 

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