A fisherman yanks a fish out of the water with an acceleration of 2.4 m/s2 using very light fishing line that has a ''test'' value of 100N. The fisherman unfortunately loses the fish as the line snaps.
A. find the mass thst the fishing line of 100N can support.
ma= - mg+T
m(a+g)=T
m=T/(a+g)=
=100/(2.4+9.8) =8.2 kg
To find the mass that the fishing line can support, we need to use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
The force the fishing line can support is given as 100 N. The acceleration in this case is the acceleration with which the fisherman yanks the fish out of the water, which is 2.4 m/s^2.
Using Newton's second law of motion, we can write:
Force = Mass x Acceleration
Rearranging the formula, we can solve for mass:
Mass = Force / Acceleration
Substituting the given values, we have:
Mass = 100 N / 2.4 m/s^2
Calculating:
Mass ≈ 41.67 kg
So, the fishing line with a test value of 100 N can support a mass of approximately 41.67 kg.