A Strange Central Force

A small 10 kg sphere is attracted to a central point at the origin by a force F=1r5/3r^  N ,\vec{F}=- \frac{1} {r^{5/3}} \hat{r} ~ \text{ N }, where N\text{N} stands for Newtons. At time t=0t=0 the sphere is at r=10 mr=\SI{10}{ \m} with a tangential velocity of 0.02 m/s0.02 \text{ m/s} and no radial velocity. What is the closest distance the sphere comes to the origin in meters?

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