Suppose that you want to calculate the work done on particle by the force F~ = A

Question

Suppose that you want to calculate the work done on particle by the force F~ = Ar3 r^, where A is a constant, moving from the origin, ~ri = 0^i + 0^j, to the point ~rf = ^i + ^j.

This one is tougher! Suppose that you want to calculate the work done on particle by the force F = Ar3r, where A is a constant, moving from the origin, ri = Oi + 0j, to the point rf = i + j. Calculate the work clone moving along the path (x, y) = (0,0) Rightarrow (1,0) Rightarrow (1.1). Calculate the work done moving along the path (x, y) = (0,0) Rightarrow (0,1) Rightarrow (1.1). Calculate the work done moving along the path y (x) = x. Calculate the work done moving along the path y (x) = x2. What do you conclude about the work done along each of these paths? How much work would it take to move from rf. to fy, and then back to r, along a weird path wiggling around all over the place?

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