What Is the Minimum Strength of a Fishing Line to Stop a Drifting Salmon?

AI Thread Summary
The discussion focuses on calculating the minimum strength of a fishing line required to stop a drifting salmon weighing 87 N. Participants emphasize the need to apply physics principles, particularly Newton's laws, to determine the necessary force and acceleration. The initial calculations involve converting weight to mass and using kinematic equations to find acceleration. There is confusion about the correct approach and application of formulas, particularly in relating the variables for acceleration and force. The thread highlights the importance of understanding the relationship between mass, force, and motion in solving the problem correctly.
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1. 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 87 N in 11 cm if the fish is initially drifting horizontally at 3.3 m/s? Assume a constant deceleration.

2. F=ma, W=mg

3. I have a feeling this problem is really easy I just don't know how to do it. I thought I did it correct below but my answer is wrong. Can someone help me please?

W=87N d=0.11m a+3.3m/s
m=87/9.8= 8.89kg
F=(3.3m/s)(8.89kg)= 29.3N
 
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I don't really understand how this can be a one-dimensional problem.
If it is, you first have to find the acceleration using what is given. ie.
Final velocity = 0
Initial velocity = 3.3 m/s
Displacement = 0.11 m
Try v2 - u2 = 2*a*s to find out the acceleration and multiply it with the mass of the body under consideration.
 
Oh okay. I had no idea I had to relate those equations. Is my mass that I have above correct?
 
So I just tried it and still got it wrong. Here's what I did.

a= 3.32/0.22= 49.5
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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