Answer: Workdone = 61.28ft.lbs
Workdone in moving the object 4ft due west is 61.28ft.lbs
Step-by-step explanation:
Given;
Force = 20lbs
Direction = N 50° W
Distance moved = 4ft
Workdone = Force × distance
W = fd
But f in this case is
Force due North = fcos50
Force due west = fsin50
Since we are to find the workdone due west then
W = fsin50 × d = fdsin50
W = 20lbs × 4ft × sin50
Workdone = 61.28ft.lbs