An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one revolution per million years. It now begins to collapse. Assuming that the mass remains constant, estimate the cloud’s rotation period when it has shrunk to (a) the size of the solar nebula, 100 AU across,and (b) the size of Earth’s orbit, 2 AU across.  Hint:consider angular momentum conservation

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An interstellar cloud fragment 0.2 light-year in diameter is rotating at a rate of one
revolution per million years. It now begins to collapse. Assuming that the mass remains
constant, estimate the cloud’s rotation period when it has shrunk to
(a) the size of the solar nebula, 100 AU across,and
(b) the size of Earth’s orbit, 2 AU across.  Hint:consider angular momentum conservation
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