The teacher never touched on this, so if anyone could pleaseexplain clearly I\'l

Question

The teacher never touched on this, so if anyone could pleaseexplain clearly I'll give you lifesaver points! thanks!

This problem shows how dimensional analysis helps us check our workand sometimes even help us find a formula. A rope has a crosssection A = 10 m2 and density = 2000kg/m3. The "linear" density of the rope , is definedto be the mass per unit length, in the form=xAy. Based on dimensionalanalysis, find the powers x and y.

x=-1,y=2
x=1,y=2
x=-2,y=1
x=-2,y=-1
x=-2,y=2
x=-1,y=1
x=1,y=1
x=1,y=-1
x=-1,y=-1

Explanation / Answer

dimension [] = ML-3, [A] = L2, []= ML-1, = xAy ML-1 = (ML-3)x L2y= MxL-3x+2y, so x = 1, and -3x + 2y = -1, answer: x = 1, y = 1

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