(a) Suppose a constant force acts on an object, The force does not vary with time or with the position or the velocity of the object. Start with the general definition for work done by a force:
and show that the force is conservative.
(b) As a special case, suppose the force acts on a particle that moves from O to c in Figure P7.43. Calculate the work done by F on the particle as it moves along each one of the three paths shown in the figure and shows that the work done along the three paths are identical.
