How does the weight of a fish affect the stretching of a steel wire?

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In summary, the angler hangs a 4.50-kg fish from a vertical steel wire with a cross-section area of 5*10^-3 cm^2, securely fastened to a support. The wire is stretched by an amount Δl, which can be calculated using Young's modulus. The work done by gravity can be calculated using the weight of the fish and the distance it is pulled down by the applied force. However, there is not enough information to calculate the work done by the applied force or the force exerted by the wire on the fish. The applied force can be determined by the fact that the wire stretches another 0.5mm when it is applied. Proper units and conversion factors should also be taken
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usamo42j
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Homework Statement


An angler hangs a 4.50-kg fish from a vertical steel wire and 5*10^-3 cm^2 in cross-section area. The upper end of the wire is securely fastened to a support.
a) Calculate the amount the wire is stretched by the hanging fish.

The angler now applies a force F to the fish, pulling it very slowly downward by 0.500 mm from its equilibrium position.

Calculate
b)Work done by gravity
c) Work done by the force F
d) Work done by the force the wire exerts on the fish
e) Change in elastic potential energy

Homework Equations


Young's modulus = Tensile stress/tensile strain=F/A*l0/Δl
Newton's laws (?)

The Attempt at a Solution


Young's modulus for steel is 20^10 = 4.5g/(5*10^-7)*1.5/Δl and solve for Δl

Then the work done by gravity is 4.5g*0.500/10^3

But it doesn't seem like there is enough information about the forces to answer c) and d)... I tried setting the force equal to the weight, but that didn't work.

Help is appreciated. ~
 
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  • #2
Don't forget proper units and conversion factors. Force is in Newtons, not kg. What is the wire length and units?

The applied force can be determined by the fact that the wire stretches another 0.5mm when it is applied.
 

Related to How does the weight of a fish affect the stretching of a steel wire?

What is a steel wire holding fish?

A steel wire holding fish is a type of fishing gear used to catch fish. It is made of a strong, durable steel wire that is attached to a fishing line and bait to lure fish.

How does a steel wire holding fish work?

The steel wire holding fish works by attaching a baited hook to the end of the wire. When a fish takes the bait, the wire is strong enough to withstand the weight and tension of the fish, allowing the fisherman to reel it in.

What types of fish can be caught with a steel wire holding fish?

A steel wire holding fish can be used to catch a variety of fish, including but not limited to, salmon, trout, bass, catfish, and pike. It is effective for both freshwater and saltwater fishing.

Is a steel wire holding fish environmentally friendly?

Yes, a steel wire holding fish is considered to be environmentally friendly. Unlike other fishing methods, it does not use harmful chemicals or cause damage to the marine ecosystem. The steel wire is also durable and can be reused multiple times.

Are there any safety precautions to take when using a steel wire holding fish?

Yes, it is important to handle the steel wire carefully to avoid injury from the sharp ends. It is also recommended to use gloves when handling the wire. Additionally, be aware of any regulations or restrictions on the use of steel wire holding fish in your fishing location.

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