Nonequilibrium applications of Newton's laws of motion

AI Thread Summary
To determine the weight of the heaviest fish that can be pulled up vertically with a 32.0 N test line and an acceleration of 2.36 m/s², the tension in the line must be analyzed using Newton's laws. The equation T - mg = ma can be rearranged to find the mass (m) of the fish, where T is the tension (32.0 N), g is the acceleration due to gravity (9.8 m/s²), and a is the given acceleration (2.36 m/s²). By substituting these values into the equation, it can be solved for m, leading to the maximum weight of the fish. The correct approach involves ensuring that the total force acting on the fish accounts for both gravitational force and the additional force due to acceleration. This problem illustrates the application of Newton's laws in a nonequilibrium scenario.
pookisantoki
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A fisherman is fishing from a bridge and is using a "32.0-N test line." In other words, the line will sustain a maximum force of 32.0 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically, when the line is reeled in with an acceleration whose magnitude is 2.36 m/s2?

I have no idea on how to go about this problem, please help!
Thank you!
 
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If T is the tension in the string,
T - mg = ...?
 
Is the tensthe tension is the 32.0N-mg
mg=a so i plugged in 2.36
so 32-2.36=29.64
which is wrong...
 
I thought about doing it this way 2.36=[2(32)-(x*9.8)]/x but not sure if this is correct or how to solve for x.
 
pookisantoki said:
I thought about doing it this way 2.36=[2(32)-(x*9.8)]/x but not sure if this is correct or how to solve for x.
32 - mg = ma
Or 32 = m(g+a). g is known and a is given.
Find m.
 
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