P=1/2kx^
If the spring constant is 25600 N/m. How much must thr spring stretch in meters in order to store 8J of potential energy?

Answers

Answer 1

Answer:

Extension, x = 0.025m

Explanation:

Given the following data;

Spring constant = 25600 N/m

Potential energy = 8 Joules

To find the extension;

Mathematically, the potential energy stored in a spring is given by the formula;

[tex] P.E = \frac {1}{2}Kx^{2} [/tex]

Where;

P.E is potential energy. K is the spring constant. x is the extension of the spring.

Substituting into the equation, we have;

[tex] 8 = \frac {1}{2}*25600*x^{2} [/tex]

Cross-multiplying, we have;

[tex] 16 = 25600x^{2} [/tex]

[tex] x^{2} = \frac {16}{25600} [/tex]

[tex] x = \sqrt {0.000625} [/tex]

Extension, x = 0.025m


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