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A rope has a cross section A = 11 m2 and density = 2210 kg/m3.

This problem shows how dimensional analysishelps us check our work and sometimes evenhelp us find a formula.A rope has a cross section A = 11 m2 anddensity = 2210 kg/m3. The “linear” densityof the rope μ, is defined to be the mass perunit length, in the form μ = xAy .Based on dimensional analysis, find thepowers x and y.

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