Correct! p is a pure number.

 [ps(R2 - r2)] = [s][R2 - r2] = [k][l - x]

 ML-1T-2 L2 = [k]L

 [k] = MT-2

 The units of k are: kg s-2

 If you have difficulty with units and dimensions you are STRONGLY urged to use the tutorial Dimensional Analysis.

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