Find work from additional spring compression

In summary, the spring used has a spring constant of k=35000 N/m and requires 175 J of work to compress by 0.10 m from its relaxed condition. An additional 0.10 m of compression would require 700 J of work, with an additional 525 J of work needed. This can be calculated by subtracting the original 175 J from the total 700 J.
  • #1
Sneakatone
318
0
The spring used has a spring constant of k= 35000 N/m.
a) how much work must you do to compress this spring by 0.10 m from its relaxed condition.
U=1/2*k*x^2
.5*35000*(0.1)^2=175 J (correct)

b)how much work must you do to compress the spring an additional 0.10 m?
I tried the same equation but with x=0.2 but it doesn't work. (U=700J)
 
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  • #2
Sneakatone said:
b)how much work must you do to compress the spring an additional 0.10 m?
I tried the same equation but with x=0.2 but it doesn't work. (U=700J)
I assume they want how much additional work you must do.
 
  • #3
Ohhh
I subtracted 700-175 and its correct , Thanks!
 

1. What is "additional spring compression" and why is it important?

"Additional spring compression" refers to the amount of force applied to a spring beyond its natural or resting length. It is an important concept because it determines the potential energy stored in the spring, which can be used for various applications such as in mechanical devices and systems.

2. How can one find work from additional spring compression?

To find work from additional spring compression, the formula W = 1/2kx² can be used, where W is the work done, k is the spring constant, and x is the displacement of the spring from its natural length. By plugging in the values for these variables, one can calculate the work done by the additional spring compression.

3. What factors affect the amount of work done by additional spring compression?

The amount of work done by additional spring compression is affected by the spring constant, the displacement of the spring, and the direction and magnitude of the applied force. Additionally, the material and shape of the spring can also affect the amount of work done.

4. How does the work done by additional spring compression relate to potential energy?

The work done by additional spring compression is directly related to the potential energy stored in the spring. This is because the work done is equal to the change in potential energy, which is given by the formula U = 1/2kx². As the additional spring compression increases, so does the potential energy stored in the spring.

5. Can the work done by additional spring compression be negative?

Yes, the work done by additional spring compression can be negative if the displacement of the spring is in the opposite direction of the applied force. This means that the spring is being compressed by an external force, and work is being done on the spring instead of by the spring.

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