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

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

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

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

c.) Is there a potential energy that can be associated with this force? 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 to reach the final point, along the path from part b.

Expert Solution

i have done only (a), (b) and (c).

genius_generous answered 2 years ago

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