under some circumstances a star can collapse into an extremely dense object Exer

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under some circumstances a star can collapse into an extremely dense object Exercise 10.41 Under some circumstances, a sta can collapse into an extremely dense object made mostly of neutrons and called a neutron star. The density of a neutron star is roughly 1014 times as great as that of ordinary sold matter. Suppose we represent the star as a uniform, solid, rigid sphere, both before and after the collapse. The star's initial radius was 8.0x105 km (comparable to our sun), its final radius is 18 km Part A If the original star rotated once in 33 days, find the angular speed of the neutron star. Express your answer using two significant figures. w 3.82 10 rad/s Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining

Explanation / Answer

By conservation of angular momentum,

Inital momentum = Final momentum

Iw = (2/5)*m*r^2*w

Since the mass is constant

(r^2*w)_1 = (r^2*w)_2

Initial w =2*/T = 2/(33days*24h/day*3600s/h)

= 2.20e^-6rad/s

now,

(8*10^5km)^2*2.20*e^-6rad/s = (18km)^2*w

w=4346rad/s

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