Suppose that at constant force acts on an object. The force does not vary with time or with the position of the velocity of the object. Start with the general definition for work done by a force
W=∫ifF.dr
and show that the force is conservative. b) As a sepecial case, suppose the force F=(3i+4j)N acts on a particle that moves from O to C. Calculate the work done by F on the particle as it moves along each one of three paths.

Question

Suppose that at constant force acts on an object. The force does not vary with time or with the position of the velocity of the object. Start with the general definition for work done by a force 
W=∫ifF.dr
 and show that the force is conservative. b) As a sepecial case, suppose the force F=(3i+4j)N acts on a particle that moves from O to C. Calculate the work done by F on the particle as it moves along each one of three paths.