\(k =?\)

A body of mass \(m = 10^{-2} ~ \text{kg}\) is moving in a medium and experiences a frictional force \(F = -kv^2\). Its initial speed is \(v_0 = 10 ~ \text{ms}^{-1}\). If, after \(10 \text{ s}\), its energy is \(\dfrac{1}{8}mv^2_0,\). what is the value \(k\)?

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