Question

problem 4:
a spring is compressed an amount of ( x = 13 mathrm{cm} ). the spring constant is ( k = 128 mathrm{n/m} ). how much potential energy( (u_{sp}) ) is stored in the spring?

Explanation:

Step1: Convert the compression distance to meters

The compression distance \(x = 13\ cm=0.13\ m\) (since \(1\ m = 100\ cm\)).

Step2: Use the formula for spring potential energy

The formula for the potential energy stored in a spring is \(U_{sp}=\frac{1}{2}kx^{2}\).
Substitute \(k = 128\ N/m\) and \(x = 0.13\ m\) into the formula:

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Answer:

\(1.0816\ J\)