There is a nail. It was pinned to the 5-centimeter-thick board. The nail is 10-centimeter long. So that, another part of the nail outside the board is 5-centimeter-thick (picture above).
If you want to take the nail out, you need to apply a force F=1000N in order to move the nail. Also , the force F will be decrease if lenght of the nail inside the board increase, too.
How much derived unit of energy do you need to take the nail out (calculate in Joule)
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For the first 5 cm the force is 1000N, the work 50 J. For the next 5 cm, the force to pull out decreases form 1000N to 0N, since the portion of nail to be pulled decreases from 5 cm to 0 cm. so average force will be (1000 + 0)/2 N distance is 5 cm =work 25 J.
50 + 25 = 75 J