Finding Work in a Conservative Force Field
In Exercise 51 and 52, (a) show the is independent of path and (b) calculate the work done by the force field F on an object moving along a curve from P to Q.
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Consider the conservative force field F=(28x3y+6ây)i+x(7x3â1)jF=(28x3y+6ây)i+x(7x3â1)j.
Find a function f(x,y) such that F=ââfF=ââf.
f=
Use this result to find the work done if this force field moves an object from the point (-3,3) along the piecewise linear path to (1,3), and from there to (4,6). Work =
