A force is represented by a vector: from F= ˆi (3xy) - ˆj (2x^2(y)) .
Calculate the work done by this force in a displacement from the origin (0,0) to (the point (5, 10) along the following paths:
A (i) First a displacement along the x-axis from (0,0) to (5, 0), .and then a displacement parallel to the y-axis from (5, 0) to (5, 10).
(ii) First a displacement from (0,0) to (0,10) along the y-axis, then a displacement parallel to the x-axis from (0,10) to (5,10).
B. (i) A single displacement from (0,0) to (5,10) along the line y = 2x
(ii) Is this force conservative? Explain your answer (clearly).