Calculate the elastic potential energy of a spring that has been extended 0.5 m, given that the spring constant is 10 N/m.
Question
Calculate the elastic potential energy of a spring that has been extended 0.5 m, given that the spring constant is 10 N/m.
Solution
Sure, to calculate the elastic potential energy of a spring, we use the formula:
PE = 0.5 * k * x^2
where: PE is the elastic potential energy, k is the spring constant, and x is the distance the spring is stretched or compressed.
Given in the problem, k = 10 N/m and x = 0.5 m.
Substituting these values into the formula, we get:
PE = 0.5 * 10 N/m * (0.5 m)^2 PE = 0.5 * 10 N/m * 0.25 m^2 PE = 1.25 Joules
So, the elastic potential energy of the spring is 1.25 Joules.
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