The answer for the following problem is mentioned below.
The option for the question is "A" approximately.
- <u><em>Therefore the elastic potential energy of the string is 20 J.</em></u>
Explanation:
Given:
Spring constant (k) = 240 N/m
amount of the compression (x) = 0.40 m
To calculate:
Elastic potential energy (E)
We know;
<em>According to the formula;</em>
     E =  × k × x × x
 × k × x × x
    <u>E = </u> <u> × k ×(x)²</u>
<u> × k ×(x)²</u>
where;
E represents the elastic potential energy
K represents the spring constant
x represents amount of the compression in the string
So therefore,
Substituting the values in the above formula;
       E =  × 240 × (0.40)²
 × 240 × (0.40)²
       E =   × 240 × 0.16
 × 240 × 0.16
       E =   × 38.4
 × 38.4
       E = 19.2 J or approximately 20 J
<u><em>Therefore the elastic potential energy of the string is 20 J.</em></u>