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A fisherman is fishing from a bridge and is using a “45-N test line.” In other words, the line will sustain a maximum force of 45 N without breaking. What is the weight of the heaviest fish that can be pulled up vertically when the line is reeled in (a) at a constant speed and (b) with an acceleration whose magnitude is 2.0 $\mathrm{m} / \mathrm{s}^{2} ?$

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45 $\mathrm{N}$ 37$\mathrm{N}$

Physics 101 Mechanics

Chapter 4

Forces and Newton’s Laws of Motion

Newton's Laws of Motion

Applying Newton's Laws

Rutgers, The State University of New Jersey

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

01:42

A fisherman is fishing fro…

02:19

04:25

01:50

03:23

A fisherman in a boat is u…

03:42

02:31

(II) A fisherman yanks a f…

02:01

A fisherman yanks a fish v…

01:41

IE $\bullet$ A fish weighi…

01:27

08:02

A lead weight with a volum…

00:49

$\cdot$ A fisherman reels …

to solve this question, we can apply Newton's second law on the vertical access. I would choose that everything that is pointing up its positive on everything that is pointing down as negative as a consequence. Then Newton Cycle Low tells us that the net force that acts on the fish is it close to the mass off the fish times its acceleration. If the fish is being pulled up with a constant velocity, its acceleration is because 20 then the net force that acts on the fish is of course, zero. But the net force is composed by true forces attention force that is pointing up miners the weight force that is pointing down. Then the tension force should be you close to the weight off the fish. But the maximum tension that the line can sustain is 45 Newtons. Therefore, for the maximum tension we have 45 Newtons equals to the weight off the heaviest fish that can be fish it under this conditions. On the next item, we have an acceleration. So the net force that acts on the fish is it goes to the mass off the fish times its acceleration, which is equals to two meters per second squared in the second situation. Now the net force is again composed by two forces. That tension forced miners the weight force and these is of course to the mass times acceleration. Therefore, by solving this equation for the weight, we get the following the tension minus two times the mass off the fish. Is it close to the weight off the heaviest fish that can be fissured Under these conditions, the tension is equals to 45 new terms on extremo situation. So this miners two times the mass off the heaviest fish should be equal to the weight off that fish. But the weight is given by the mass off the heaviest fish times. The acceleration of gravity, which is approximately 9.8 meters per second squared then is equals true am times 9.8. So now we can solve this equation for the mass and then calculate what is the weight? Then we got the following 45 is he goes to 9.8 times the mass plus true plans. The mass 45 then is equals to 11.8 times the mass. So the mass off the heaviest fish is 45 divided by 11.8, then the weight off The heaviest speech is the coast to 45 divided by 11.8 times 9.8 meters per second squared on these results in approximately 37 Newtons.

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