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
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
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
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)Ifwf
D)mr2f
What is the rotation rate wfof 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
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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