Grade:

Question $3$ : A force is given by and $k_2$ are positive constants$).$ Find the work done by this force when a particle moves :

a$)$ from $O$ to $A,$

b$)$ from $A$ to $B,$

c$)$ from $O$ to $C,$

d$)$ from $C$ to $B,$ along the four sides of the rectangular path shown in the figure.

e$)$ Find the relationship between $k_1$ and $k_2$ if vec$(F)$ is a conservative force. Answer: