Systems and Center of Mass

AP Physics 1· difficulty 4/5

3m m d

Two stars of masses 3m3m and mm are separated by a distance dd. How far is the center of mass from the heavier star?

  • A

    d/4d/4

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  • B

    d/2d/2

  • C

    d/3d/3

  • D

    3d/43d/4

Explanation

xcm=(md)/(3m+m)=d/4x_{cm} = (m \cdot d)/(3m + m) = d/4 from the 3m3m star.

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