A 251 kg crate suspends from the end of a rope of length L = 15.0 m. You push horizontally on the crate having a varying force to move it distance d = 4.07 m to the side. (i) Determine the magnitude of if the crate is in this final position? Throughout the crate's displacement, what are (ii) the net work done on it, (iii) the work done through the gravitational force on the crate and (iv) the work done by the pull on the crate from the rope? (v) Knowing that the crate is motionless before and after its displacement, utilize the answers to (ii), (iii) and (iv) to determine the work your force does on the crate.