Our teacher want us to use integrate and use the dot method to solve for this question but I don't know how. Can any turor help me.A particle moves in the xy plane (see the figure below) from the origin to a point having coordinates x = 7m and y = 5m under the influence of a force given by F= 3yi^2 - 5xj.

a) What is the work done on the particle by the force F if it moves along path 1 (ABD)? J
b) What is the work done on the particle by the force F if it moves along path 2 (ACD)? J
c) What is the work done on the particle by the force F if it moves along path 3 (AD)? J

The figure is a square with four side and a daiagonal line from A to D lsimilar to the one below , ignore the zero.
C----------D(7m,5m)
l00000000l
l00000000l
A-----------B

2 answers

http://cas2.umkc.edu/physics/wrobel/phy240/Homework%20%205.pdf
see prob 7.45 a very similar problem. Analyze it carefully, you will get to the solutions
I spend many hours on analyzing your similar problem but still don't get it. Do you know an easier way bobursley?