One model for a certain planet has a core of radius \( R \) and mass \( M \) surrounded by an ou...

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One model for a certain planet has a core of radius \( R \) and mass \( M \) surrounded by an outer shell of inner radius \( R \), outer radius \( 2 R \), and mass \( 4 M \). If \( M=3.00 \times 10^{24} \mathrm{~kg} \) and \( R= \) \( 12 \times 10^{6} \mathrm{~m} \), what is the gravitational acceleration of a particle at points \( R \)
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