A fisherman has caught a very large 50 kg fish from a dock t

A fisherman has caught a very large, 5.0 kg fish from a dock that is 2.0 m above the water. He is using lightweight fishing line that will break under a tension of 54 N or more. He is eager to get the fish to the dock in the shortest possible time.If the fish is at rest at the water\'s surface, what\'s the least amount of time in which the fisherman can raise the fish to the dock without losing it?

Solution

The fish has 5kg of mass which means it has 49 N of weight .

Since the fishing line has 54 N test strength, it can only tolerate an additional 5 N.

Since the fish weighs 5kg, that\'s an acceleration of 1 m/s². Since the dock is 2m above the water, using

d = 1/2 *a* t², that gives us time of sqrt(4) seconds.

t=2sec