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The potential energy of a particle of mass \( m \) is given by \( U=\frac{1}{2} k x^{2} \) for \( x0 \) and \( U=0 \) for \( x \geq 0 \). If total mechanical energy of the particle is \( E \). Then its speed at \( x=\sqrt{\frac{2 E}{k}} \) is :
(A) Zero
(B) \( \sqrt{\frac{2 E}{m}} \)
(C) \( \sqrt{\frac{E}{m}} \)
(D) \( \sqrt{\frac{E}{2 m}} \)
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