**I actually have a 15.2-meter, knotted rope as well a 4.4-meter chain; I took the chain outside and laid it in a straight line with the rope attached to one end of the chain. I placed that attached end at the foot of a 9.7-meter ladder standing against a tree and climbed roughly 7 meters up the ladder with the free end of the rope. With the attached chain-end directly below me, I started pulling the rope up, hand-under-hand.**

**I was surprised to see that the entire chain began to effortlessly move toward the point directly beneath me, practically gliding like a snake, and I could see no discernible signs of opposition or friction between the chain and the ground. **

**At the reference point directly below me, each link of the chain would lift almost vertically off the ground and climb at 90 degrees to the ground; there seemed no need to calculate sines and cosines of angles. When the entire chain was hanging vertically with the far end of the chain 2 meters above ground, every link of the chain having moved (4.4 + 2) meters, I felt as if the entire displacement of the chain had been vertical and through air.**

**In Physics, Work is described as a Force exerted or acting through a Distance. The Distance in this case would be 6 meters.**

**The Force (or Mass of the chain Times Gravity) is given by 9.8∫**_{(from x=0 to x=4)}**(8x − 2x**^{2}**)dx equal to **

**9.8[4x**^{2 }**− (2/3)x**^{3}**|**_{(from x=0 to x=4)}**] or 209.066666666 Newtons.**

**Finally, the Work sought is obtained by 209.066666666∫**_{(from x=0 to x=6)}**dx equal to **

**1254.4 "Newton-Dot-Meters" or Joules.**