Additional energy stored in spring

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songoku
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Homework Statement


The graph shows the variation with extension x of the load F on a certain spring
Graph of load F in newtons against extension x in metres for a spring, showing a straight line through the origin rising from 0 N at x = 0 to about 25 N at x = 0.10 m on a grid.

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
 
Attachments
  • Graph of load F in newtons against extension x in metres for a spring, showing a straight line through the origin rising from 0 N at x = 0 to about 25 N at x = 0.10 m on a grid.
    upload_2019-1-12_17-3-1.png
    58.8 KB · Views: 853
  • Graph of load F in N against extension x in m for a spring, showing a straight line through the origin rising from 0 at x = 0.00 to 25 N at x = 0.10 m on a fine grid.
    ccc.png
    20.1 KB · Views: 382
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.