How Strong Does a Fishing Line Need to Be to Stop a Drifting Salmon?

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To determine the minimum strength of a fishing line needed to stop a drifting salmon weighing 78 N over a distance of 13 cm, constant acceleration equations must be applied. The initial horizontal velocity of the salmon is 3.1 m/s, and the problem involves calculating the necessary deceleration to bring the fish to a stop. Using the equation Vf^2 = V0^2 + 2a(x - x0) along with F = ma, the required force can be derived. The tension in the line must match or exceed this force to effectively stop the salmon. Accurate calculations are essential to ensure the fishing line can withstand the required strength.
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Homework Statement


The tension at which a fishing line snaps is commonly called the line's “strength.” What minimum strength is needed for a line that is to stop a salmon of weight 78 N in 13 cm if the fish is initially drifting horizontally at 3.1 m/s? Assume a constant deceleration.


Homework Equations


I need to use constant acceleration equations...so: v=V0+at, x-x0=v0t+(1/2)at^2...there are 3 other equations for constant acceleration but I don't think i have learned them yet.

The Attempt at a Solution


I am pretty stuck on this one as I have no idea which equation to use and what to do after that to find the solution
 
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I got it with the help of a friend using Vf^2=V0^2+2a(x-x0) and F=ma
 

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