When a star collapses it significantly shrinks in size and spins up. Consider a star with a mass of M = 2.2×1030 kg and an initial radius of R; = 6.8×105 km. If the initial period of rotation of the star is T₁ = 28.9 days, find the new rotational period after it collapses to a final radius of Rf = 6.8×10³ km. Treat the star before and after the collapse as a solid sphere with uniform mass distribution (which is not true, of course, but good enough for an estimation). The new rotational period of the star, Tf = Units km Find the ratio between the final and initial rotational kinetic energies of the star. The factor by which the kinetic energy of the star increases, KE₁f/KE₁ = The work done by gravity, W = || X The increase in the rotational kinetic energy of the star comes from gravity. How much work is done by the gravity force while collapsing the star? Units Select an answer Units N

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When a star collapses it significantly shrinks in size and spins up. Consider a star with a mass of
M = 2.2×1030 kg and an initial radius of R₁ = 6.8×105 km. If the initial period of rotation of the star is
T₁ = 28.9 days, find the new rotational period after it collapses to a final radius of Rf = 6.8×10³ km. Treat
the star before and after the collapse as a solid sphere with uniform mass distribution (which is not true, of
course, but good enough for an estimation).
The new rotational period of the star, Tf =
Find the ratio between the final and initial rotational kinetic energies of the star.
The factor by which the kinetic energy of the star increases, KE₁/KE₁
Units km
=
Units Select an answer ✓
Units N
X
The increase in the rotational kinetic energy of the star comes from gravity. How much work is done by the
gravity force while collapsing the star?
The work done by gravity, W = ||
Transcribed Image Text:When a star collapses it significantly shrinks in size and spins up. Consider a star with a mass of M = 2.2×1030 kg and an initial radius of R₁ = 6.8×105 km. If the initial period of rotation of the star is T₁ = 28.9 days, find the new rotational period after it collapses to a final radius of Rf = 6.8×10³ km. Treat the star before and after the collapse as a solid sphere with uniform mass distribution (which is not true, of course, but good enough for an estimation). The new rotational period of the star, Tf = Find the ratio between the final and initial rotational kinetic energies of the star. The factor by which the kinetic energy of the star increases, KE₁/KE₁ Units km = Units Select an answer ✓ Units N X The increase in the rotational kinetic energy of the star comes from gravity. How much work is done by the gravity force while collapsing the star? The work done by gravity, W = ||
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