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An object of mass m=4.00 kg is acted on by a 2-D force of the form:...

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Physics

An object of mass m=4.00 kg is acted on by a 2-D force of theform: F=C(x^2y^2,xy^3), where the coordinates are given in metersand the constant C=62.4 N/m^4.

a.) calculate the work that F does on an object if it moves fromthe origin to the point (2,2) along a straight line path (theshortest possible path).

b.) calculate the work that F does on the object if it movesbetween the two same points, but along a different path given bythe curve y=x^2/2

c.) Is there a potential energy that can be associated with thisforce? If so, find the potential energy function U(x,y).

d.) Assume F is the only force that does work on the object.Calculate the minimum initial speed required for the object toreach the final point, along the path from part b.

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