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Two neutron stars are separated by a dis...

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

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