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Conservation of angular momentum A spherical star with radius R1 7.96 x 10 km and rotating with angular speed (o 3,92 x 10s rad/s suddenly collapses into a neutron star. The neutron star emits a beam of X-rays directed radially outward that can be seen by an observatory on the earth r 4.55 x 104 km from the star. The X-ray beam sweeps past the earth with a tangential speed v 7.40 x 10 km/s each time the neutron sta makes a full rotation. Angular momentum was conserved during the collapsethe star The moment of inertia of a solid sphere with mass M and radius R about an axis through its center is MR2 (a) Use conservation of angular momentum to show that the radius of the neutron star R2 is given by: r 0) R2 = R1 where Ri, r, and o, and v are defined in the question. (b) Calculate the radius of the neutron star. (answer: 1240 km) (c) How much time elapses between X-ray pulses detected by the observatory on the earth? (answer:

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