How many times will the potential energy of the spring increase with an increase in the coefficient

How many times will the potential energy of the spring increase with an increase in the coefficient of elasticity k by a factor of five?

To find the increase in the potential energy of the spring taken, we apply the formula: n = Epk / Epn = (kk * x ^ 2/2) / (kn * x ^ 2/2) = kk / kn.

The ratio of the variables: kк (final stiffness of the taken spring) = 5kн (initial stiffness of the spring).

Let’s perform the calculation: n = kk / kn = 5kn / kn = 5 p.

Answer: The potential energy of the taken spring will increase 5 times.



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