find the work required to pull up the anchor if the cable weighs 20 lb/ft in water
To find the work required to pull up the anchor, we need to know the weight of the anchor and the length of the cable. The weight of the cable is given as 20 lb/ft, which means that every foot of the cable weighs 20 pounds. However, the weight of the cable is not enough to determine the work required.
To calculate the work, we need to consider the weight of the anchor itself. Let's assume the anchor weighs A pounds. The length of the cable is L feet. The total weight of the anchor and the cable is A + 20L pounds.
To calculate the work required to pull up the anchor, we can use the formula:
Work = Force × Distance
The force required to lift the anchor and the cable is equal to the weight. Therefore, the force is A + 20L pounds. The distance over which the force is applied is the length of the cable, L feet. Therefore, the work required is:
Work = (A + 20L) × L
Now, you need to provide the weight of the anchor and the length of the cable to calculate the work required to pull up the anchor.