The potential energy of an interaction is given by (U(x)=a x^{2}), where (a=+6.4 mathrm{~J} / mathrm{m}^{2}). (a)
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The potential energy of an interaction is given by \(U(x)=a x^{2}\), where \(a=+6.4 \mathrm{~J} / \mathrm{m}^{2}\).
(a) If the initial speed of a \(0.82-\mathrm{kg}\) object in this system is \(2.23 \mathrm{~m} / \mathrm{s}\) at \(x=0\), how far does the object travel before it reaches a speed of \(v=0\) ?
(b) Docs your answer in part \(a\) depend on whether the object is traveling in the positive or negative \(x\) direction?
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