Identical Springs: Stretching 0.160m with 50 Coils

In summary, the relationship between the number of coils and the stretching distance of an identical spring is directly proportional. The stretching distance also increases with an increase in force and is not affected by the initial length. Additionally, the number of coils can affect the stiffness of an identical spring, with more coils resulting in a stiffer spring. The material of an identical spring can also impact its stretching distance, with stiffer materials having a smaller stretching distance compared to less stiff materials.
  • #1
jmccray
5
0
An object is attached to the lower end of a 100-coil spring that is hanging from the ceiling. The spring stretches by 0.160 m. The spring is then cut into 2 identical springs of 50 coils each. Each spring is attached between the ceiling and the object. By how much does each spring stretch?
 
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  • #2
Could you please show your efforts thus far.

~H
 
  • #3
all i have is a picture. I am unsure of how to even begin.
 
  • #4
Try working out the spring constant first.

~H
 

1. What is the relationship between the number of coils and the stretching distance of an identical spring?

The stretching distance of an identical spring is directly proportional to the number of coils. This means that as the number of coils increases, the stretching distance also increases.

2. How does the stretching distance of an identical spring change with different amounts of force?

The stretching distance of an identical spring is directly proportional to the amount of force applied. This means that as the force increases, the stretching distance also increases.

3. Is the stretching distance of an identical spring affected by its initial length?

No, the stretching distance of an identical spring is not affected by its initial length. As long as the spring has the same number of coils and is made of the same material, it will stretch the same amount regardless of its initial length.

4. Can the number of coils in an identical spring affect its stiffness?

Yes, the number of coils in an identical spring can affect its stiffness. Generally, a spring with more coils will be stiffer than a spring with fewer coils. This is because more coils provide more resistance to stretching.

5. How does the material of an identical spring affect its stretching distance?

The material of an identical spring can affect its stretching distance. Generally, a spring made of a stiffer material, such as steel, will have a smaller stretching distance compared to a spring made of a less stiff material, such as rubber.

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