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Two spherical balls are placed so their centers are 2.6 m apart. The force between the two balls is 2.75 x 10-12 N. What is the mass of each ball if one ball is twice the mass of the other ball?

  • physics -

    Use Newton's universal law of gravity.

    F = G M1 M2/R^2

    In this case, M2 = 2 M1. Therefore

    F = 2 M1^2/R^2.

    M1 is the mass of the smaller sphere. R is the separation. Look up the universal constand G; it must be in your notes, or textbook.

    Solve for the smaller mass, M1. Double that for M2. Show your work if further help is needed.

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