Additional energy stored in spring

In summary, the given graph shows the relationship between the load F and the extension x of a spring. A load of 10 N is placed on the spring, resulting in an extension of 0.04 m. If the spring is extended a further 0.040 m, the total extension will be 0.08 m. Using the equation F = kx, we can solve for the spring constant k. Then, using the equation E = 1/2 kx^2, we can calculate the additional elastic potential energy stored in the spring. The correct answer is (a) 0.200 J.
  • #1
songoku
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Homework Statement


The graph shows the variation with extension x of the load F on a certain spring
upload_2019-1-12_17-3-1.png

A load of 10 N is placed on the spring. How much additional elastic potential energy will be stored in the spring if it is then extended a further 0.040 m?
a. 0.200 J
b. 0.450 J
c. 0.600 J
d. 0.800 J

Homework Equations


F = k x
E = 1/2 k x2

The Attempt at a Solution


Load of 10 N means the extension is 0.04 m and extended further 0.04 m means that the extension is 0.08 m, right?

I got (c) but the answer key is (a) ??

Thanks
 

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  • #2
songoku said:

Homework Statement


The graph shows the variation with extension x of the load F on a certain spring
View attachment 237172
A load of 10 N is placed on the spring. How much additional elastic potential energy will be stored in the spring if it is then extended a further 0.040 m?
a. 0.200 J
b. 0.450 J
c. 0.600 J
d. 0.800 J

Homework Equations


F = k x
E = 1/2 k x2

The Attempt at a Solution


Load of 10 N means the extension is 0.04 m and extended further 0.04 m means that the extension is 0.08 m, right?

I got (c) but the answer key is (a) ??

Thanks

I think you are correct.
 
  • #3
Thank you
 

What is the concept of additional energy stored in spring?

The additional energy stored in a spring refers to the potential energy that is stored in a spring when it is stretched or compressed from its equilibrium position.

How is the additional energy stored in a spring calculated?

The additional energy stored in a spring can be calculated using the formula E = 1/2kx^2, where E is the energy, k is the spring constant, and x is the displacement from equilibrium position.

What factors affect the amount of additional energy stored in a spring?

The amount of additional energy stored in a spring is affected by the spring constant, the displacement from equilibrium position, and the mass attached to the spring.

What is the relationship between the amount of additional energy stored in a spring and its displacement?

The amount of additional energy stored in a spring is directly proportional to its displacement from equilibrium position. This means that the more the spring is stretched or compressed, the more energy it will store.

What are some real-life applications of additional energy stored in a spring?

The concept of additional energy stored in a spring is used in various real-life applications such as in shock absorbers for vehicles, trampolines, and pogo sticks. It is also used in mechanical devices such as clocks, toys, and door hinges.

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