Two neutron stars are separated by a distance of 1.0 * 10^10 m. They each have a mass of 1.0 * 10^30 kg and a radius of 1.0* 10^5 m.They are initially at rest with respect to each other. As measured from that rest frame, how fast are they moving when (a) their separation has decreased to one-half its initial value and (b) they are about to collide?

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Chapter5: Relativity
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Problem 28P: A neutron lives 900 s when at rest relative to a observer. How fast is the neutron moving relative...
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Two neutron stars are separated by a distance of 1.0 * 10^10 m. They each have a mass of 1.0 * 10^30 kg and a radius
of 1.0* 10^5 m.They are initially at rest with respect to each other.
As measured from that rest frame, how fast are they moving when
(a) their separation has decreased to one-half its initial value and
(b) they are about to collide?

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